The urban areas are expensive. Rural housing is affordable.
I doubt America has many villages now! It's a nation of cities, cities, that are also ranked! If you're an NYer, you may have better chances of finding a date.
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Not really
USA has over 3000 counties mostly rural
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That's true, but the vast majority of Americans live in a metropolitan statistical area.
There are lots of rural places, but not very much rural housing capacity.
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Some of that remaining 20% is suburban, too.
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suburbs are not included in MSA?
suburbs are not rural, closer to urban
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Suburbs are included in MSA's, but are not always classified as urban. MSA's are often an urban core, surrounded by non-urban areas that are tightly linked to it.
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Now compare your 3000 to this.

As of 2019, there's a total of 664,369 villages, up from the 649,481 in the 2011 Census of India and the 638,365 recorded in the 2001 Census of India. https://wiki.openstreetmap.org/wiki/Main_Page
What percentage of people live in villages in India?
Rural population (% of total population) in India was reported at 63.64 % in 2023, according to the World Bank collection of development indicators, compiled from officially recognized sources.
With that being said, I only know that Americans don't even use the word villages more often. In fact America is a country of small towns. What you're suggesting is/may be small towns.
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