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This green line is either the video board or the picture tube. In either case, this is not a a repair that you want to invest money into.
Many of these TVs are now being sold for very little because of the new technology on hte market. So, if you would like another set you should be able to find one for less than the cost of the servicer doing the diagnositic tests on it. Even the parts for this repair would be less than you can purchase a used model for.
Let me know if you would like more information.