Probably a safety switch, the ignition switch send electricity through a few safety switches on the way to the solenoid, neutral, brake on and deck off is what it is checking for .If you unplug the little wire on the solenoid and touch a wire from the pos + battery terminal of the battery to the spade on the solenoid it should turn over , and prove the solenoid is good or not.
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Probably a safety switch, the ignition switch send electricity through a few safety switches on the way to the solenoid, neutral, brake on and deck off is what it is checking for .If you unplug the little wire on the solenoid and touch a wire from the pos + battery terminal of the battery to the spade on the solenoid it should turn over , and prove the solenoid is good or not.