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It actually depends on the type of arson. As you can see here, one type of arson is a misdemeanor, while the others are felonies:
The statute of limitations on the felonies, which are most arsons, is six years. For a misdemeanor arson, the statute of limitations is two years. Hope this helps!
I notice you have posted another question looking for your answer. I have posted the answer for you here.