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Question: Cool air in heat mode

Heat Mode - When the heating element is on it blows warm air. When the element is not on it blows cool air. I've closed the ventilation control (at least I pushed it in). The wall it is installed on is cool to the touch and the bottom of the unit is cold. Could the cold be conducted through the wall along the metalic sleeve and the cool are is sucked into the intake area? Anyone else have this probem?