Find the product $$\sqrt{3} \left( \sqrt{11} + \sqrt{5} \right)$$ and express your answer in the form $A \sqrt{B} + C \sqrt{D},$ $A$, $B$, $C$, and $D$ are all integers and $B > D.$

Answer: $A =$ , $B =$ , $C =$ , and $D =$

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