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Jack Jones has brown hair. The murderer has black hair, so Jack Jones is not the murderer.
The suspect who owns a purple car has black hair. The suspect who was wearing a black shirt owns a purple car. The suspect who was wearing a black shirt was carrying an orange umbrella. Therefore, one suspect owns a purple car, has black hair, was wearing a black shirt, and was carrying an orange umbrella. But David Smith owns a white car, Jim Brown was carrying a purple umbrella, Larry Martin was wearing a yellow shirt, and Jack Jones has brown hair. Therefore, the only suspect who could be this suspect is John Alberts. Since this suspect, John Alberts, has black hair and the murderer has black hair, he is the murderer.

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