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NEW YORK — Terrence McNally, one of America’s great playwrights whose prolific career included winning Tony Awards for the plays “Love! Valour! Compassion!” and “Master Class” and the musicals “Ragtime” and “Kiss of the Spider Woman,” has died of complications from the coronavirus. He was 81.

McNally died Tuesday at Sarasota Memorial Hospital in Sarasota, Florida, according to representative Matt Polk. McNally was a lung cancer survivor who lived with chronic inflammatory lung disease.

His plays and musicals explored how people connect — or fail to. With wit and thoughtfulness, he tackled the strains in families, war, and relationships and probed the spark and costs of creativity. He was an openly gay writer who wrote about homophobia, love and AIDS.

“I like to work with people who are a lot more talented and smarter than me, who make fewer mistakes than I do, and who can call me out when I do something lazy,” he told LA Stage Times in 2013. “A lot of people stop learning in life, and that’s their tragedy.”