I've replaced mine (fuel filter/regulator) too at 90k due to a slight hesitation and dropping power at fourth gear.

It fix my revving issue at 2.5k rpm dropping to 1.8k rpm......now it's much more linear and rpm hardly fluctuates.

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01 E39 530i - SOLD !
05 E53 4.8is


Pics of Bianca (E39) and Betsy (E53)