On my 2003 4/4 there is a small electronic "instrument control module" somewhere behind the dash - Part number MDE 1750
In 2007, two years after buying my car, I started to have a number of strange faults (warning lights, odd instrument readings) but one of the faults was the one reported in this thread.
My local dealer (Berrybrook) replaced the module and all the faults disappeared.
At the time, the unit was just under £100, plus half an hours' fitting time.
Bud
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2003 - 4/4