I take an extra step: I have a cover piece that covers up the "hole" where the stereo used to be, so that, to a thief looking at the car, it looks like the car doesn't even have a stereo at all.

That doesn't sound like a good idea. If you fill the hole with a cover a thief might think you have a cleverly disguised stereo and break in to find it (after all how many cars nowadays don't have a stereo). At least if you leave the hole empty they can see that the stereo is not there.



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