You would have to alter the queries on 'showthread.php'. Something like this is usually above the amount of assistance you will receive on a board like this. You might want to post this in the paid/unpaid request forums.
It would be easier just to omit the closed threads from showing in your "showthread" queries or/and creating a separate query just to show the closed threads at the bottom. Of course you are adding queries to the page in the latter method.
Your example board, most likely handles their indexing of threads and posts differently, making it possible for them. Although who knows, maybe they use additional queries to do the same thing.
--------------- Added 24 May 2014 at 15:39 ---------------
You might also be able to create some kind of additional filter between the queries and outputting to the template system. This however, would increase the load on your server a bit and possibly memory requirements.