Listbingo search module doesn't work properly, on your demo site too. When you try to do a new search and see answer on this search rezult with more then 1 page, for exampal 2 pages, and after click on page number 2, you don't see second number of your search page, you see second page of all list of classifieds of the site! I find this bug after 3 years use this template.

I solved the problem myself
In the main settings of your site - SEF should be in OFF position.
In that case Listbingo search module work correctly!

Dear alexche2

Thanks for your solution.

thanks