13-week engagement

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The 2010 Broadway revival of “Fences” was a pacesetter in the practice, several producers said. The “Fences” producers had such a hot seller in its star, Denzel Washington, that they began to test the market to determine what premium price would hold for that 13-week engagement. The production’s average paid admission began to rise sharply, and the show recouped its $2.8 million capitalization in just eight weeks. (New York Times, http://www.nytimes.com/2011/11/25/a...most-of-hot-broadway-tickets.html?ref=newyork)

Does "engagement" here mean "1 b. a job or period of employment especially as a performer (Merriam-Webster, http://www.merriam-webster.com/dictionary/engagement)"?
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