I once worked for a cable company called Comcast. The way they "said" they worked it was you would "rent" an IP from them and they would change it at the end of each billing cycle. What really happens is you keep the same one until they feel like changing it at any given time. Sometimes you could power cycle the modem and get a new IP or sometimes you would have the same IP for a long while. I believe they still operate the same way.
Oh if you can't see it on the side, I'm in Philadelphia, PA, USA.
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