What exactly does it mean when the doctor says your liver enzymes elevated?

Possible damage: Liver enzymes are found in the blood. When they go up, it generally means that there is some sort of stress or damage to the liver. It may be trivial or serious. There is a very wide range of enzyme levels between "normal" and "worrisome". The important thing is to follow the enzyme levels to see if they go higher or go back down. Talk to your doctor since there are many possible causes.

Possible liver damag: Elevated liver enzymes can be due to some extent of liver cell damage. When the cells are damaged, they release the enzymes into the bloodstream. The causes can be numerous...A drug reaction, infection, autoimmune disorder and many others. Your healthcare provider should be able to further advise you.