Levine Leichtman Capital Partners, a private equity firm in Los Angeles, announced Thursday it has bought the Hot Dog on a Stick chain.

The chain was purchased by Global Franchise Group, a Levine Leichtman portfolio company. Terms of the deal were not disclosed.

Since its founding in Santa Monica in 1946, Hot Dog on a Stick has served its namesake product and lemonade. It now has 92 locations in the United States and several countries. The company’s headquarters are in Carlsbad.

The firm plans to bring Hot Dog on a Stick to new territories and markets, Levine Leichtman said in a statement.