Why does ajax pagination for archive page not work?

Question

AJAX

Good day.

There is a custom post - "ploshadki", its taxonomy is "ploshadka", the taxonomy has 3 terms (as categories) - "Site1", "Site2", "Site3".

There are 3 links on the page, when you click on one link, posts related to "Site1" should be displayed. When you click on the link two - posts "Platform2", etc.

How to properly set up an Ajax request so that pagination works during the output?

I did both through new WP_Query () and through query_posts (), always get links like this:
192.168.31.135/wp-admin/admin-ajax.php/page/2/?act...
Pagination correctly counts pages, but links are obtained not valid...
It should look like this:
sitename.ru/ploshadki/page/2

As far as I understand, through new WP_Query () and query_posts () - pagination on the archive page will not work as it should, and somehow it is necessary to replace the values ​​in pre_get_posts, but how can this be done dynamically using ajax?