Melt the butter in a large skillet over medium heat. Add the caraway seeds, onion, 1 tablespoon salt and a few grinds of pepper and cook, stirring occasionally, until the onions are softened, about 5 minutes. Fold in the cabbage and cook until slightly wilted, 2 to 3 minutes. Add the stock, vinegar, sugar, apple, 2 teaspoons salt and a few grinds of pepper and stir to combine. Cover the skillet and cook until the cabbage is completely softened and the liquid is almost completely evaporated, about 20 minutes. Fold in the dill and transfer to a serving bowl.
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