Sure...
When a search is performed, the search variables should be carried to the results page. Say I searched for "paypal" in "3.7 Mods" in "Titles Only". When I press Search and am presented with the results, my searchbar should still read "paypal" in "3.7 Mods" in "Titles Only". The chances are pretty high that my next search will be very similar with only one field changed if I do not find what I am looking for.
It's common practice to carry the search form input to the search results page.
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