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What year of kj do you have?
OK the 2003 Jeep KJ Service Manual shows on Page # 8W-30-30 for the 3.7 gasser that all the coil packs have Dark Green/Orange wires which go to +12 volts while Coil Pack #1 has its other pin being switched to ground via a Tan/Red wire to the PCM.....no mention of any other wires such as a Purple/White!
Check the wiring on the other coil packs to see if their colors match the wiring diagram...different year models of the KJ have different colors so your 2003 may have been at a change-over point!
There are frequent errors in these Wiring Diagrams so I would not stake my life on this!
Purple with White stripe sounds like a Jeep KJ color....I will try find it in the diagrams to see why this may in use here.
Have you traced the other end of this wire inside the cabin? Maybe someone has bypassed something or has replaced the original wire for some reason.....are you having any issues?
You can download the 2003 Jeep KJ Service Manual here. Section 8W has the wiring diagrams...look at the Component Location heading which will direct you to the correct page for Coil Packs.
Most wires have a solid color with a thinner stripe running down its length ie. a Black Wire with a Light Blue stripe is labeled as BK/LB...this is explained in the beginning of the Wiring Diagrams.
www.colorado4wheel.com/manuals/Jeep/KJ/