Service at North Gate Garrison ends with those who served getting North Gate Service Signifiers.
Why do people serve at North Gate Garrison? Because they muster out with money and opportunity. They are recorded in the rolls that mark where they came in on for later. With their North Gate Service Signifiers, they get transport back to or any destination of the same length within the lens of the Steel Realms that are at least not enemies. A lot of people choose The prestige of fighting in the north against the Lich Lords over being caught up in some local war and killed for nothing. Some choose it instead of prison, debt, or work farms. Boats going to the port on The Red March are filled with a few prisoners. But they won’t take murderers, or sex crimes. Typically only petty theft and minor transgressions.
You are required to leave the north however. The north does not want a bunch of battle-scarred veterans loitering. There is a local martial order called The Home Garden Marshals that take reports of those that have left the wall and not gotten their mark and are not leaving and track them down and force them to leave.