Does 0.0 beer show up in a urine test?

I'm curious, could you clarify something for me? I've heard some people say that consuming non-alcoholic beer, or beer with an alcohol content of 0.0%, won't show up in a urine test. Is this true? Could you explain the science behind it? And what about other non-alcoholic beverages that might contain trace amounts of alcohol? How do they factor into the equation? I'm just trying to get a better understanding of how these tests work and what they can detect.