When Monitored

WARNING: This page is about a different car, the 2016 RAM 1500. However, it is still accessible from the selected car via links, so may be relevant.

The stuck closed diagnostic is run after the engine is started and running:

The Powertrain Control Module (PCM) will command one of the Starter Relays closed and the other Starter Relay open and monitor the Ignition Crank Sense circuit feedback for voltage. It will then open the closed relay and close the open relay and monitor the Ignition Crank Sense circuit feedback for voltage. If there is voltage present on the feedback circuit during either of these tests, then the relay that was commanded off when voltage was detected is determined to be stuck closed.