How to design a Javascript part for faceted search (active filtering)?

Question

PHP

As a result, it should work on ajax , these are the oils

I have

1 filters render PHP in front of each filter <span data-facet="model.filtermane.count">
2 the "search" button makes a request to the REST controller which, in addition to the results, returns facet for each filter
3 js library with 2-way-binding renders from reasponse .searchResults is a list of search results, and from reasponse.facets it updates <span data-facet="model.filtermane.count">- i.e. updates the number of hits against each filter and deactivates it if 0

am I on the right track?

I checked the sites here and here and a couple more

so the server generally returns html
do I need to assign this logic to js as I wrote above?
ebay - generally reloads the page

please tell me the implementation path and give links to sites with really good faceted search in order to understand what it is striving for