I will preface my comments with the assumption that so far as you know, there is not a CD stuck in the drawer!
I have a 390S that is now my backup (since I jumped on the AR CD7/8 bandwagon) and I follow Levinson's recommended drawer calibration procedure about every two weeks. It works best if the drawer is open and even better if it is closed part way, but it works (so I have been told by the former dealer) even when you start with the drawer closed.
1. Turn off the power at the back of the 39.
2. Press the drawer open button on the front of the 39 and keep it pressed while you turn on the power switch on the back of the 39.
3. With the drawer open button still pressed, watch the front display on the 39 change as the 39 runs through its cold start procedure. When you see the word "calibrate" in the display, remove your finger from the drawer open button and let the 39 cycle through whatever number of drawer openings and closings its software determines to be necessary until the drawer is deemed (by the software) to be calibrated.
If this doesn't work, you will probably need to send it in for service. And from what I have heard/read, their service is unfortunately quite expensive.
Good luck!