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Notes -
This map is based on metropolitan areas, which in turn are based on urban areas. A handy interactive map of these features as defined by the federal Census Bureau is available here.
Note that the Census Bureau's official criteria for defining urban areas have some unjustified hysteresis, and therefore may be considered untrustworthy. (Specifically, if the algorithm indicates that two urban areas have merged into one urban area in the past ten years, then in some situations the Census Bureau will keep them separate anyway.) For an alternative, global viewpoint on urban areas, see the UN's "degree of urbanization", of which two different interactive maps are available here. (I have glanced at this topic previously in this comment.)
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