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Having a strange display issue with my mid 2013 MacBook Air. I have tried disconnecting cleaning and reconnecting the screen cable on the logic board with no joy. Do I need to replace the screen cable running into the display?

Sadly your LCD panel has failed. Likely from a bang or heavy weight pressed on the lid cracking the delicate connections along the bottom of the glass panel. Here’s one source for the needed part 11” MacBook Air Display Assembly, Apple P/N 661-7468 and here’s the guide to put it in MacBook Air 11" Mid 2013 Display Assembly Replacement