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It could help Journey’s visibility, too, as it did for singer Nick Lowe when his song “The Beast in Me” was used over the closing credits for the very first episode of “The Sopranos.” There had been some speculation that Mr. Chase would return to it for the finale.

“A lot more people knew Johnny Cash’s version [of ‘The Beast in Me’] and this put Nick’s version on the map,” says Jake Guralnick, Mr. Lowe’s American manager. “Nick’s version is a lot more vulnerable.”

Mr. Cain says it indicated that a wish he and Mr. Perry had — that their songs would have a long life — was coming true.

“It puts our feet in the cement,” he says. “We’re a staple in the American music culture. Like us or not, we’re here to stay.”