If you still have that rather large relay on the fender near the battery, that used to do the job of the solenoid and it makes a loud clunk when it's activated. If you don't hear that clunk suspect the neutral safety switch. You can bypass it by using a small jumper wire to connect the battery positive terminal to the small wire plugged onto the left smaller plug-in terminal on the relay. That is usually a red / blue wire. If that doesn't work the neutral safety switch still could be the cause of the problem. There's a couple of different circuits.
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Monday, June 10th, 2013 AT 10:18 PM