What does "Mark complete" do on a set?
Marking a set complete tells the community you own every member piece — even if you haven't logged each one individually yet. The set's progress bar jumps to 100% and the badge on the public set page shows the green "complete" state.
You can still add the individual pieces later for full provenance. Toggling "Mark complete" off restores the auto-calculated progress based on owned pieces.
Tip: if you logged all the pieces but the set still shows incomplete, double check that each piece references the right set membership — the set tracks which exact catalog numbers count toward completion.