Well, I tried this plugin and it seems to me very good and useful.

When the publication time expired the item was moved to another category which I choose. But does anyone know how to modify this plugin in order to change "end of publication time" back to "Never" after the item has been moved to another category.

 

In this way I could have automatically published archive category that would contain only items that are no longer actual. I have that need for items like public calls (for jobs, scoolarships, etc.) that have deadline for applying. I don't want to unpublish them but just to move them to archive category automatically.