Tangerine-Glazed Easter Ham With Baby Carrots

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1 (8 to 10-pound) smoked ham, bone-in, skin on

Kosher salt and freshly ground black pepper

1 bunch fresh sage leaves

1/4 cup extra-virgin olive oil

1 cup (2 sticks) unsalted butter, cut in chunks

2 tangerines, sliced thin, seeds removed

2 cups tangerine juice

2 cups light brown sugar, packed

1 cup water

1/4 teaspoon whole cloves

2 cinnamon sticks

11/2 pounds carrots, peeled