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Is the shortest day of the year always the same day?

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The shortest day of the year often falls on December 21, but the modern calendar of 365 days a year - with an extra day every four years - does not correspond exactly to the solar year of 365.2422 days. The solstice can happen on December 20, 21, 22 or 23, though December 20 or 23 solstices are rare.
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