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Thanks everyone for your input. It makes sense to me if it were for a radar detector setup.
Flanders, it looks like the wire goes to ignition switch harness. Hmm I didn't notice the duct tape to the right of all the fuses until looking at the pictures I took. I am going to check again tomorrow. It's weird because I see the same thing from other people's under dash pictures as well.
So ghetto! They could have plugged into the ignition switched input receptacle just a few inches away!