If it isn't a factory wiring installation, which I bet it isn't. Chances are the connections were done at the tail light assemblies. Easy way to check is to remove the tail light bezels and look. Depending on the stop and turn configuration, there maybe a diode block that was installed. As the stop and turns share the same trailer bulbs and circuitry, the diode block keeps one of the turn signals inadvertently sending current to the other turn signal. I suspect it is either a connection to the vehicle wiring, or a bad diode. You tube and a test light are your friends.