Corrosion is a sign of water intrusion over time and could certainly result in a poor ground connection as well as poor bulb connections too. The plastic lens covers on many coaches are notorious for leaking with age, so once the corrosion is cleaned up (and hopefully you find/fix the problem as well) it would be wise to caulk around the top and sides of the lens cover(s) to keep future rain etc out ( or replace any lens gasket there may be). It might also be wise to check the right hand side for corrosion too when you check the brake bulb there. Good luck.
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