It still is a very good idea to put an ID tag on the dog's collar just in case he does escape the invisible fence. My wife and I found a miniature pincher with the invisible fence collar on but no ID tag. We went to houses in that neighborhood with the dog until we found someone who knew where the dog belonged. His owners did not know he was even gone from the yard!
I was a little apprehensive when I first walked up to the dog to see it's collar and picked him up. Lucky for me he was a very friendly dog.
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