Save Links Generated by User Search

Hello All
I was wondering if anyone knew how I could save the urls generated by my site users when searching at [ redundant link removed ]?

This is not the native WP search function so it does not appear that there is a plugin that will do what I want.

I would like to create a public archive of the searches performed by users so others could then have a few examples of what the search tool is finding on eBay.

I hope that makes sense?

Regards
Mike

The page I need help with: [log in to see the link]