I think you have it right, they have no jurisdiction to enforce VA law. I'm out of state right now and my inspection is expired, as is my county sticker, but they can't do anything about it here. I think the only thing you must do is keep the license plates current, but even that may be treading on VA law. There may be some sort of reciprocity agreement with DC, but generally, one state(or DC)
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Fairfax County General