Normal I believe. Isn't it thermostatically controlled and runs to cool down the engine regardless of ignition? I think there is a warning label to that effect on the fan..

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"promote the general welfare, not provide the general welfare"

We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.