Answer: Browning could be caused by a variety of things including frost and underwatering .... The plant should continue growing and eventually the new growth will conceal the damaged leaves. This plant is relatively dense and shrubby as its natural shape, so it will probably be filling in somewhat on its own regardless. You could trim off the branch tips now to tidy it up, however this would cause some additional branching below the cuts. If the frosting or drying was severe it will have killed back the tips and will cause branching on its own. If it is not too extensive perhaps you could just rub off the damaged leaves with your fingers.
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