what cause the check engine light to come on intermittently

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ck engine light comes and stays on for about 1-5 days,goes off by itself reappears in another month to 3 months last for a day or two sometimes, goes off by itself again. check at auto parts store to diagnose,Random misfiring on #4 cylinder other times no code, cam and or crank shaft sensor noticeable sound in engine if light comes on while driving doesn't shuts off or stutter no problem in starting