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In medium-sized saucepan, bring sugars and water to boil. Boil, uncovered, for 5 minutes over medium-high heat, stirring occasionally.
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Add cranberries, apple, and orange juice. Bring to a boil. Cook, uncovered, over medium-low heat, stirring periodically throughout the cooking process for about 8 minutes then add the blueberries and spices. Increase heat to return mixture to boiling point then reduce heat to medium-low and continue to stir the sauce periodically while cooking it for another 10 minutes or until mixture thickens and blueberries have softened.
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Remove saucepan from heat and remove the star anise pod. Add orange rind. Stir frequently as the sauce cools to help it to thicken.
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Store, covered, in refrigerator for up to 5 days or freeze for longer storage.