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The 2001 Subaru Impreza has a flat 4 engine.
The 2001 Subaru Forester has a flat 4 engine.
The 2001 Subaru Legacy has a flat 4 engine.
The 2001 Subaru Outback has a flat 4 engine.
Subaru Forester L came with drum brakes on the rear. Forester S has discs.
The 2001 Subaru Forester has a 2.5 L base engine size.
The 2001 Subaru Impreza has a 2.2 L base engine size.
The 2001 Subaru Legacy has a 2.5 L base engine size.
The 2001 Subaru Outback has a 2.5 L base engine size.
The question is why do you think it should? Is there an overheating problem with your Outback?
The 2001 Subaru Forester's engine produces 165 hp @ 5600 rpm.
The 2001 Subaru Impreza's engine produces 142 hp @ 5600 rpm.