Preheat the oven to 300 degrees F. Line two baking sheets with parchment paper.
Whisk the sesame oil and soy sauce together in a large bowl until the mixture looks creamy. Add the kale and toss to coat.
Lay about half of the kale out on both baking sheets in a single layer, leaving a little room between leaves. You will need to bake them in batches. Bake in the middle of the oven 6 for 7 minutes, then rotate the sheets and bake until the kale is crispy, another 6 to 7 minutes. Gently transfer it to a platter to cool. Repeat for the remaining kale. Serve once cooled.
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