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How does the winter solstice relate to the “longest night”

The winter solstice just gone was on the 22nd at 11:12 UTC. Does that mean the longest night was the night before or the one after? Or more generally, given the time of the winter solstice of any ...
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Why isn't sunset time in sync with solstice?

The winter solstice in the Northern Hemisphere in 2011 is on December 22. But if I look at the sunset times for a location such as Washington, DC on the USNO site, the sunset time starts reversing ...