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you didn't say what kind of jeep you have and what year it is
there are no relays that stick the heated seats were electronically controlled by a module under the seat, (assuming this is a FACTORY install NOT an aftermarket one), the module controlled BOTH heaters the system is controlled by a timer and a temperature sensor, the sensor is inside the seat and part of the heating element, once the element reaches it's high limit the system switches to low then after a predetermined time it shuts off, a burn through is USUALLY caused my a break in the element which causes a localized overheat.
remember the elements are JUST LIKE electric heaters and basically a short which causes the heat so if there Is a break and the resistance changes there will be an overheat in that spot.
our ONLY big problem child was the GRAND CHEROKEE which had several recalls on the elements, that's because they used a carbon plastic element and not a traditional carbon fiber element
age is the most common cause of a heating element failure remember these things FLEX a lot as you get in and out of the seat and this flexing can cause them to break, HOWEVER that was the best available in 05
thanks please stay warm and have a great weekend
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