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A common cause for the clicking is a bad connection at the battery or a low battery.
If you want to test the solenoid, take a small wire and jump #3 to #5 in the diagram aboveMake sure the truck is in park or neutral. The solenoid should click, and the starter should turn. If it doesn't, then take a large jumper cable and jump #3 and #6 in the diagram above. If the starter will turn, then yes, I would suspect a bad solenoid.