I HAVE REPLACED THE BULBS I HAVE REPLACED THE 4X4 SWTICH ON THE TRANSFER CASE WHICH SEEMED TO FIX THE PROBLEM THE LAST TIME BUT NOW EVEN DOING THAT DOES NOT HELP.
How long have you had this problem? 3 WEEKS
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The back up lights are turned on when shifting into reverse, via a switch and wiring.
Check all related fuses, and check the wiring for this circuit and I imagine you may find the fault.