At the start of its new album, “No Rain, No Flowers,” the Black Keys’ Dan Auerbach sings that “Baby, the damage is done/It won’t be long ’til we’re back in the sun.”

That’s starting to become the case for the Nashville-based duo.

Last year the Keys — Auerbach and drummer Patrick Carney, friends since childhood growing up in Akron, Ohio — had to cancel a planned tour in support of its critically lauded previous album, “Ohio Players,” due to mismanagement and business conflicts of interest. The group scorched the earth, firing those involved and creating a new team, and openly expressing their dissatisfaction.

Auerbach and Carney also made new music — their 13th studio album, “No Rain, No Flowers,” which came out earlier this month, just 16 months after “Ohio Players.” After that’s sets c

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