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If the ice maker line is frozen, then the water valve on the ice maker needs to be replaced.
What happens is, sometimes when a valve breaks, it does not close all the way and a slow drip of water goes up through the line. The drip is so slow that it freezes in the line and blocks water from going into the ice maker.
IF you had this problem two months ago, I would suspect that the valve has fully broken and is not allowing any water in.