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In heavy saucepan, whisk egg yolks and sugar till thick.
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In another saucepan, bring cream and half and half just to a boil over medium heat. Gradually whisk the hot cream into the egg mixture in a thin stream.
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Cook over low heat, stirring constantly, till custard is thick enough to coat the back of a spoon (about 6 minutes). Do not boil!
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Strain into a bowl; add vanilla and let cool to room temperature
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Cover and refrigerate over-night.
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Pour into freezer and follow directions for your freezer.