When I try to perform a new search, with new prices, these are not considered and the page reloads with the old data, but the search fields in the url are correct.
Please disable third-party plugins and customizations (if there are any) and check if this issue persists. If you use a caching plugin, make sure that caching is disabled for logged-in users.
If this issue exists, please provide more details on how you added this filter and we will try to help.