The complex had an asking price of £1.95m when it went on sale in March.
Pub company CDC Leisure, which ran the three venues and sister pub Auntie Annie's, went into administration last year owing nearly £7.8m to Allied Irish Bank.
Radio Ulster DJ Ralph McLean welcomed the news of the venues' sale. He said: "It's great. It bodes well for both local music and visiting artists if the venues are being bought."
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