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I do not know about MBZ cluster and it would be hard to believe the ODO does not register mileage if the cluster shows speed correctly.
All modern cars use 'drive-by-wire' technology. A sensor in the drive axle generates pulses which is fed to the on-board computer to calculate speed and distance travel. If the car registers speed correctly ( the pulse is converted to an analogue signal to drive the speedo ) then the ODO should go up as expected. The ODO reading is only a counter in the car's computer. Removing the battery has no effect as the counter is stored in non-volatile ram or flash, similar to USB drive.
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