Add checkbox to search page for "Include Archive content"

[MEGAMENE]

It would be nice to have a checkbox like the "Include private content" checkbox for Archive content in the search page.
Maybe also have an option to just search for the Archive content too.

[Radiokot]

Can you do it in the web app? I tried experimenting with search filters, and it seems you can only use archived:true/false which returns either achieved or not achieved entries but never both.