Do you vegans eat food that says the product contains trace amounts of milk etc?

Question

but the ingreident list doesnt actually list any dairy

Answer 1

Either it contains milk or it doesn't.  If it does, I won't go near it.

Answer 2

If it says it 'contains' trace amounts of milk then no, I wouldn't eat it.

But I think you mean products whose labels say they MAY contain trace amounts of milk. Yes, I eat those.

Those warnings aren't put there for vegans, it's put there for allergy sufferers; the product has been manufactured or prepared in premises or using equipment that has also been used to prepare something made using milk. The equipment's thoroughly cleaned between uses, and the warning is to cover the company's back in the extremely unlikely event that a microscopic amount of milk product remains and a lactose intolerant person is affected.

That's why the 'may contain traces of' list might include nuts, sesame and other common allergens.