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1
TO MAKE THE FILLING: Cut the cabbages into quarters. Steam until very tender, approximately 20 to 30 minutes. Drain and cool. In a strong but thin linen towel, squeeze as much of the liquid from the steamed cabbage as possible. Squeeze only a small handful at a time. Discard the juice.
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2
Grind the squeezed cabbage with the fine blade of a meat grinder. Add the cream cheese and softened butter and season highly with salt and pepper. Set aside.
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3
TO MAKE THE DOUGH: Whisk the egg, milk, water, and sour cream together. Add the flour, 1 cup at a time, mixing well after each addition. Turn out onto a floured board and knead until smooth and elastic. This may take 10 minutes. Add as little additional flour as possible.
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4
Put ball of dough under an inverted bowl until ready to use.
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5
To make the varenyky, cut the dough into 4 pieces. On a floured board roll out piece of dough into a round 1/16 inch thick. Keep rest of dough covered. With a cookie cutter or glass tumbler (2 1/2 to 3 inches in diameter), cut the dough into rounds. For each varenyk take 1 round of dough, stretch it a bit with your fingers, and spoon about 2 Tablespoons of the cabbage onto the center.
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6
Fold the circle in half and press the edges together. Crimp the edges with your fingertips into a decorative pattern if you wish. Be sure to seal the edges well or the filling may fall out during cooking. Put finished dumplings on a towel or tray that has been lightly sprinkled with cornmeal. Continue rolling dough until all the filling has been used up.
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7
Bring a very large kettle of water to the boil. Add 1 Tablespoon salt to the water and cook about 20 varenyky at one time in simmering water until they are tender and float (about 5 to 6 minutes.) Remove to a serving dish with a slotted spoon and dribble with butter and a bit of oil, to prevent sticking. Gently fold the varenyky in the oil. Leftover varenyky can be fried in butter and oil with fried onions.
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8
Makes approximately 8 dozen dumplings.
