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LeoPatrizi/E+ via Getty Images Carol Robinson has been renting out rooms in her Brooklyn home for years through Airbnb (NASDAQ:ABNB). It has supplemented her part-time income, and she loves playing host to families, artists and…

DariaRen Airbnb (NASDAQ:ABNB) jumped 5.1% after hours Friday, and Blackstone (NYSE:BX) rose 4.3%, on news that the stocks would join the S&P 500. S&P Dow Jones Indices said that as part of its quarterly rebalancing, Blackstone…