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I have this Early 2009 Macook 2.0Ghz Core 2 Duo. I bought it with this problem where the backlight goes off at about 45 degrees and comes back on somewhere at the 120degree angle. I tried to look for parts but I cant find any inverter cables. I know these sometimes break internally and it has happened with one of my older ones, which I did replaced. I cant find the same part for this laptop when I researched it on Ifixit. Does this not have the same cable that the older ones had?

Yes there is an inverter cable for the early 2009 MacBook. It takes the same one that the MacBooks late 2007 Santa Rosa - early 2008 Penryn use ( 3 wall connector on the board). Ifixit does not have any in stock at the moment. Here is a link verifying that the early 2009 MacBook takes the same cable I mentioned. Here is a google shopping search for the part.