Thanks for all of your work in researching and posting this. It is nice to know how it works and that I can run the E53 down to empty and not worry about my fuel pump getting hot.

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2001 E53 X5 3.0 Auto. Silver Black Build date 10-17-2000 141kmiles

2004 E60 545i Sport 6MT. Black/Black Build Date 6-2004 102k miles