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Before you attempt to save your plant, when the leaves turn yellow or brown, dry out and fall off, diagnose the problem. Overwatering is a common problem for houseplants, while more potential causes exist for dying leaves on outdoor plants. Once you determine the cause, take the steps to determine whether you can save the plant or need to get rid of it. Your decision will depend on the extent of the damage or disease, the value of the plant and your willingness to take the necessary steps to remedy the situation.