Here are the correct matches for the terms and their definitions:
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An eating disorder in which a person repeatedly eats large amounts of food and then purges - Bulimia nervosa
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A disorder in which a person repeatedly eats too much food at one time - Binge eating disorder
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An eating disorder in which a person strongly fears gaining weight and starves themselves - Anorexia nervosa
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Is the way you view your body - Body image
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