Notice carefully the Archaeologist badge
Edited 100 posts that were inactive for 6 months.
in this context what does "inactive" mean?
The activities the badge is referring are:
For example, on Integration with the RDF module the link labelled "Active" takes to the question itself, which I edited today; on NFS Directories between 2 Servers the same link takes to this answer, which was created three days ago.
From here I learned the "activity" is determined by the variable
From my tests these are the actual triggers