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IANAL; however, to carry it in your car it must be concealed, and that would definitely not be concealed. I would think you would be in a world of hurt if you got pulled over or reported by someone who saw it. I would definitely recommend re-thinking your approach to this one. Just my $.02.

To answer your question about would this need to be concealed once you have your CHL, you definitely need to have it concealed whether or not you have your CHL. It would ultimately be up to the LEO as to what would happen, but yes, this would definitely be a violation.