Yep.. Also I wouldn't use dish soap either.. Most have degreasers in them that will pull the wax right off your car. Probably not as big a deal for wheels unless you've waxed them too..
I just use regular old car wash soap and wash each one by hand with a microfiber cloth after I'm done cleaning the car. It's kind of a pain but that's part of the joy of owning aftermarket wheels.
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