One problem related to transmission solenoid has been reported for the 2003 Jeep Liberty. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2003 Jeep Liberty based on all problems reported for the 2003 Liberty.
Transmission hesitates / lurches randomly. Car stalls out, increasingly frequently despite repairs. When engine cuts out, lose all power steering brakes etc - so far only at low speeds but progressively worse - seems very similar to Jeep commander recall at higher speeds. Rpm needle goes wild after engine cuts out. Can restart and limp a few miles, then need tow - 2x towed in 1 week, 3x towed in 2 months, and 4 trips to shop without results. Car currently stuck upstate NY where I was trying to vacation -and Chrysler/Jeep not so cooperative. There's plenty evidence of stalling problems on internet for 4-5 years - see edmunds. Theories: deceleration / rpms below 1000 make engine cut out. Solenoid is pulling battery amps =12 and causing havoc in ignition system, short-circuiting sensors. Thermal computer module damage. Computer scans for diagnostic codes definitely not reliable. By relying only on computer module for diagnosis, dealers are only making the problem worse because they are sending cars back out without fixing root problem, causing more damage. I had wheel sensor found corroded 6/3, crank sensor fail 8/6 and cam sensor failed 8/10. Sensors don't fail sequentially nor so fast. Something is causing sensors to fail. And while sensors not working they are causing damage of their own. . . Computer, ignition coils (all 6 needed repair in 1 case where burned out). Who knows if the spark plugs, fuel pumps, injection cleans, and throttle body cleans work or not. (some say tb cleanout is important if stalls are at lower speeds - less air inflow). Battery seemed to have issues too soon - may be related. One case where harness wiring rubbed against rear something causing probs. My speedometer broke after 1 sensor repair. Separately (unless water and corrosion are the real culprits) brakes and rotors wearing out - replaced 2x in 40k miles. Not right. Some blog on that, too.