The inverter will stop charging the battery when charged. i also but don't know for sure but think it's a slow charge . I charge my battery with my Battery tender before I set out on a trip so inverter doesn't have to work that hard to charge a battery. It does have to be on while towing for the emergency braking to work. I have a cut off switch in the ground wire on mine. The truck will keep the battery charged while towing also.
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