Valve cover gasket leaks are common after 60,000 miles. Symptoms will include oil drips under the vehicle and burning oil smell from the engine compartment.
Problems for specific BMW 328i years:
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Repairpal verified 1997 BMW 328i problems
The blower final stage fan resistor is known to fail. Symptoms are the heater fan speed varies regardless of the setting, the fan will not turn off when the car is switched off, or the fan will not switch on at all.