Confused about how to update a search

Lets say I have the results of a particular search stored in the archive and now I want to update with any new results. I would think that there must be some way to do this via an “update search” command but I can’t find anything like this. Do I have to recreate the search manually by cutting and pasting?

To run the same search again and again, I suggest to create a new search set (just click on the “+” button of the search window after running the search for the first time).