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Jersey Boys,” the long-running Broadway musical hit about Frankie Valli and the Four Seasons, will close in January 2017 after a run of 11 years.

With strong reviews from critics, powerful box office momentum and four Tony Awards including the top musical trophy, “Jersey Boys” proved instrumental in helping to redeem the idea of a “jukebox musical.” On the way toward its New York opening in November 2005, the show faced some skepticism along Broadway for a pre-existing score drawn from a catalog of Four Seasons hits. But the musical’s creative team, including director Des McAnuff and book writers Marshall Brickman and Rick Elice, won over doubters with a slickly staged, emotionally resonant behind-the-music biography of the band.

In its wake, other back-catalog musicals of contemporary tunes — including “Beautiful” and “Fela!” — became awards-season players without facing much stigma as jukebox musicals.

“Jersey Boys,” meanwhile, became one of Broadway’s top draws, consistently earning a spot in the weekly millionaires’ club for several years. In recent months, however, softening sales have suggested that producers might soon decide to throw in the towel on the Broadway production (although the show continues to tour in the U.S. and the U.K.).

The musical spawned a 2014 movie adaptation directed by Clint Eastwood, but the film’s tepid reception didn’t have a noticeable effect on the Broadway production’s box office.

Produced by a team led by Dodger Theatricals, Joseph J. Grano, Tamara and Kevin Kinsella and Pelican Group, Broadway’s “Jersey Boys” will run through the end-of-the-year holidays (traditionally the most profitable weeks on Broadway) before shuttering Jan. 15. In the run-up to its closing, “Dancing with the Stars” performer Mark Ballas will join the show Oct. 18 in the role of Frankie Valli.