The AC control unit can be put into diagnostic mode to read out sensor values for troubleshooting. Here is one thread, and you can find others by searching:

W210 Air Conditioning Diagnosis | EClassBenz.com

Hopefully you can find the trouble this way. Good luck.

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1998 C230 330,000 miles (currently dead of second failed EIS, yours will fail too, turning you into the dealer's personal human cash machine)
1988 F150 144,000 miles (leaks all the colors of the rainbow)
Previous stars: 1981 Brava 210,000 miles, 1978 128 150,000 miles, 1977 B200 Van 175,000 miles, 1972 Vega (great, if rusty, car), 1972 Celica, 1986.5 Supra