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Cook bacon in a large skillet over medium heat, stirring occasionally, until bacon begins to brown, 5–7 minutes; transfer to a bowl.
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Increase heat to medium-high and cook kohlrabies in skillet, tossing occasionally, until golden brown, about 5 minutes.
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Add scallions and garlic and cook, tossing, until scallions are soft and garlic is golden, about 3 minutes.
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Add kohlrabi greens and 1 Tbsp. water and cook, tossing, until greens are tender, about 2 minutes.
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Add bacon and soy sauce and toss to combine; season with salt and pepper.