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Usually with just one of these codes, you can replace just the TP (Throttle Position) sensor. But with all four codes, replacing the complete throttle body will repair the problem. Your 2005 Mustang is what we call drive by wire. Meaning there is no cable that connects the gas pedal to the engine. It is all sensors and electrical wires. All four codes point to a failed throttle body which is causing your running problems and check engine light. Replace the throttle body and clear the codes.