How would you test filter functionality for Amazon.com

Filter functionality in amazon.com is quite a complex one with so many moving parts. What will be your strategy and test ideas to validate the filter functionality.

Since there are many categories in Amazon, let take the Printer category, for this use case.

https://www.amazon.com/s?i=specialty-aps&bbn=16225007011&rh=n%3A16225007011%2Cn%3A172635&ref=nav_em__nav_desktop_sa_intl_printers_0_2_6_11