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Push raspberries through fine metal sieve; set aside.
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In a medium saucepan, combine sugar, honey, and 2 cups water.
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Over medium heat, bring to a boil, stirring to dissolve sugar.
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Add cocoa; cook stirring constantly, 2 minutes.
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Remove from heat, whisk in chocolate and then the raspberry puree.
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Chill in freezer 30 minutes.
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Freeze in an ice cream freezer according to manufacturers directions.