CINCINNATI — In March, the steel bones of a $250 million Major League Soccer stadium were starting to soar over Cincinnati’s West End, an unmistakable emblem of the growth of the professional sport across the country.

The stadium, home to the F.C. Cincinnati soccer club, is one of seven under construction in the league’s building boom — projects totaling $2.85 billion that will stretch into 2022, when the league expands to 30 teams from 26. In a departure from the billions of public dollars spent in the 1990s and early 2000s for new stadiums and arenas for Major League Baseball and other professional sports leagues, all of the new soccer stadiums are privately financed, with modest public support for modernizing infrastructure.

“There’s a lot to unpack about this trend,” said Adie Tomer, a fellow at the Brookings Institution’s Metropolitan Policy Program who studies stadium development. “It’s a different political economy from what it was a few decades ago. Cities are willing to say, ‘We’re not going to build that stadium for you.’”

And there is a limited supply of teams and a growing demand to own them, Mr. Tomer said. “We are creating wealthy individuals faster than we’re creating sports teams.”

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