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I'm not sure I follow that completely, but I think what you're saying is that you want to find articles with the most tags in common. You say you only want articles that were written before the current one, but why not show articles written after as well? But maybe you have a reason for that.

Anyway, the way "similar threads" works is that it finds the similar threads then stores a field in the thread table that is a comma separated list of threadids, so that it doesn't do the work of locating the similar threads every time it needs to display them.

X vBulletin 3.8.12 by vBS Debug Information
Template Usage: (1)SHOWTHREAD_SHOWPOST (1)ad_footer_end (1)ad_footer_start (1)ad_header_end (1)ad_header_logo (1)ad_navbar_below (1)footer (1)gobutton (1)header (1)headinclude (6)option (1)post_thanks_box (1)post_thanks_button (1)post_thanks_javascript (1)post_thanks_navbar_search (1)post_thanks_postbit_info (1)postbit (1)postbit_onlinestatus (1)postbit_wrapper (1)spacer_close (1)spacer_open Phrase Groups Available: global postbit reputationlevel showthread	Included Files: ./showpost.php ./global.php ./includes/init.php ./includes/class_core.php ./includes/config.php ./includes/functions.php ./includes/class_hook.php ./includes/modsystem_functions.php ./includes/functions_bigthree.php ./includes/class_postbit.php ./includes/class_bbcode.php ./includes/functions_reputation.php ./includes/functions_post_thanks.php Hooks Called: init_startup init_startup_session_setup_start init_startup_session_setup_complete cache_permissions fetch_postinfo_query fetch_postinfo fetch_threadinfo_query fetch_threadinfo fetch_foruminfo style_fetch cache_templates global_start parse_templates global_setup_complete showpost_start bbcode_fetch_tags bbcode_create postbit_factory showpost_post postbit_display_start post_thanks_function_post_thanks_off_start post_thanks_function_post_thanks_off_end post_thanks_function_fetch_thanks_start post_thanks_function_fetch_thanks_end post_thanks_function_thanked_already_start post_thanks_function_thanked_already_end fetch_musername postbit_imicons bbcode_parse_start bbcode_parse_complete_precache bbcode_parse_complete postbit_display_complete post_thanks_function_can_thank_this_post_start showpost_complete
Messages:

X vBulletin 3.8.12 by vBS Debug Information

Page Generation 0.01239 seconds
Memory Usage 1,754KB
Queries Executed 11 (?)

More Information

Template Usage:

(1)SHOWTHREAD_SHOWPOST
(1)ad_footer_end
(1)ad_footer_start
(1)ad_header_end
(1)ad_header_logo
(1)ad_navbar_below
(1)footer
(1)gobutton
(1)header
(1)headinclude
(6)option
(1)post_thanks_box
(1)post_thanks_button
(1)post_thanks_javascript
(1)post_thanks_navbar_search
(1)post_thanks_postbit_info
(1)postbit
(1)postbit_onlinestatus
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(1)spacer_close
(1)spacer_open

Phrase Groups Available:

global
postbit
reputationlevel
showthread

Included Files:

./showpost.php
./global.php
./includes/init.php
./includes/class_core.php
./includes/config.php
./includes/functions.php
./includes/class_hook.php
./includes/modsystem_functions.php
./includes/functions_bigthree.php
./includes/class_postbit.php
./includes/class_bbcode.php
./includes/functions_reputation.php
./includes/functions_post_thanks.php

Hooks Called:

init_startup
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init_startup_session_setup_complete
cache_permissions
fetch_postinfo_query
fetch_postinfo
fetch_threadinfo_query
fetch_threadinfo
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parse_templates
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bbcode_fetch_tags
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post_thanks_function_thanked_already_start
post_thanks_function_thanked_already_end
fetch_musername
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bbcode_parse_start
bbcode_parse_complete_precache
bbcode_parse_complete
postbit_display_complete
post_thanks_function_can_thank_this_post_start
showpost_complete

Messages:

X vBulletin 3.8.12 by vBS Debug Information
Page Generation 0.01239 seconds Memory Usage 1,754KB Queries Executed 11 (?)
More Information
Template Usage: (1)SHOWTHREAD_SHOWPOST (1)ad_footer_end (1)ad_footer_start (1)ad_header_end (1)ad_header_logo (1)ad_navbar_below (1)footer (1)gobutton (1)header (1)headinclude (6)option (1)post_thanks_box (1)post_thanks_button (1)post_thanks_javascript (1)post_thanks_navbar_search (1)post_thanks_postbit_info (1)postbit (1)postbit_onlinestatus (1)postbit_wrapper (1)spacer_close (1)spacer_open Phrase Groups Available: global postbit reputationlevel showthread	Included Files: ./showpost.php ./global.php ./includes/init.php ./includes/class_core.php ./includes/config.php ./includes/functions.php ./includes/class_hook.php ./includes/modsystem_functions.php ./includes/functions_bigthree.php ./includes/class_postbit.php ./includes/class_bbcode.php ./includes/functions_reputation.php ./includes/functions_post_thanks.php Hooks Called: init_startup init_startup_session_setup_start init_startup_session_setup_complete cache_permissions fetch_postinfo_query fetch_postinfo fetch_threadinfo_query fetch_threadinfo fetch_foruminfo style_fetch cache_templates global_start parse_templates global_setup_complete showpost_start bbcode_fetch_tags bbcode_create postbit_factory showpost_post postbit_display_start post_thanks_function_post_thanks_off_start post_thanks_function_post_thanks_off_end post_thanks_function_fetch_thanks_start post_thanks_function_fetch_thanks_end post_thanks_function_thanked_already_start post_thanks_function_thanked_already_end fetch_musername postbit_imicons bbcode_parse_start bbcode_parse_complete_precache bbcode_parse_complete postbit_display_complete post_thanks_function_can_thank_this_post_start showpost_complete
Messages: