EDIT:
Found some proof...
"The only options available on the 325iS were metallic paint and automatic transmission." Which means...LSD came as standard equipment.
Look under drivetrain...

For those curious...it's the same thing for the eS as well. LSD was standard.

Someone probably swapped your LSD out with an open diff prior to your ownership. It was very common since most BMW owners at the time were oblivious to what an LSD even is.

mine didn't come with one.
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