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Peel apples, remove core, and then dice. Add apples along with water, sugars, cinnamon stick, cinnamon, star anise, cloves, orange zest, and orange juice to a large heavy-bottomed pot/Dutch oven. Stir to combine.
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Bring to a simmer over medium/low heat. Simmer for an hour, stirring occasionally.
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After an hour, remove the cinnamon stick, star anise, and cloves from the pot. Give the apples a light mash, being sure not to mash all of the apples. Simmer for another thirty minutes over low heat.
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Let completely cool in pot before adding to storage container or canning. Store in the refrigerator for up to two weeks.