Now thats a tricky problem.
Switch the left and right turn signals at the trailer and see if it still happens.
If it still doesnt work on the left side of the trailer(given its hooked up to the right turn signal on the jeep) than its got to be something on the trailer.
If the left turn signal works on the trailer but the right turn signal on the trailer doesnt work then its a problem on the Jeep(probably the problem).
What brand harness do you have on the Jeep?
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LOST KJ'S
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Current Jeep: 2004 Jeep Liberty
-Atlantic Blue
-Air Ride Rear Suspension ; OME/Rustys Lift ; Powertrax Locker ; Moog Lower Ball-Joints ; 245/70/16 Yokohama Geolander A/T-S's on MOABS ; Flowmaster 50 SUV
Lost #007082
http://www.cardomain.com/id/jeepjeepster