When a person with an addiction has more than one aspect of his or her personality that is open to treatment, the person is said to have a .

dual diagnosis

Explanation:

An individual with the condition of dual diagnosis has both a psychiatric illness and a substance use problem. About half of the people who suffer from psychiatric disorders will also have drug use problems at some time in their life. The interactions between the two conditions could severely affect both. When an individual is suffering from a substance abuse problems and mental disorder, the two issues sometimes interfere with one another and develop a vicious cycle of dependence.

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