The MAF on my Van was sealed, so all that could be cleaned was the flap, joints, and screen.
MAP = Manifold Absolute Pressure. That's what the Liberty has. The air in the atmosphere contains oxygen. An engine burns a mixture of oxygen and fuel. For an engine to burn efficiently, it has to have just the right mixture of fuel and oxygen.
To determine the correct air/fuel mixture and the correct ignition timing, the PCM must know the atmospheric (BARO) pressure. If the PCM is to compensate for changes in altitude or weather, it must have an input signal that reflects these changes in atmospheric pressure.
The Manifold Absolute Pressure sensor does this?
Yes. And, on engines that do not have a Mass Air Flow (MAF) sensor, the MAP sensor signal is also used by the PCM to calculate engine load -- how hard the engine is working. This is called the speed-density method of calculating engine load for engines without MAF sensors (as stated by someone above). It is because of this engine load calculation for speed-density engines that the accuracy of the MAP sensor signal is so critical.
The problem is, they are placed in a HOT intake manifold, so the accuracy is not perfect, but works with the system at hand. It would take a $1000.00 system to be as accurate as possible. Sometimes the IATs are also placed too close to the hot manifold, it's not accurate but WORKs with the system at hand. I move mine as close to the filter as I can get them, it's more accurate there.