New Live Search - Question

Fantastic work on the new live search feature!

Since it uses AJAX-powered filter, and effectively allows users to search the website without refreshing the page, does that mean that we can still change the URLs based on the filtering the user selects.

For example, a user opens the search functionality located at:

website.com/search

And then uses location filters like - US, Texas, for example - to narrow down their search.

Would this result in the URL changing to something like this:

website.com/search/us/texas

Even though the webpage hasn’t refreshed.