Hi kemper,There has been several riders complaining about this issue. I don't think it is as straight forward as it seems. I would not toss your solenoid yet.
I don't know electrics well enough to point you to the answer, but I would caution you about blaming your solenoid exclusively.
As I said, I do know this issue has been discussed several times here....... I am not sure about definitive answers......... some replaced wires and cleaned connections, bought other solenoids (including people who bought used ones) and the issue was resolved. But, they did so many things, it was hard to determine what fixed the issue.
Just my 2 cents......
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~ ~ ~ jaknight ~ ~ ~