Preheat an air fryer to 400 degrees F (200 degrees C). Spray the basket with nonstick cooking spray.

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Combine butter, honey, orange zest, and cardamom in a bowl. Remove 1 tablespoon of the sauce to a separate bowl and set aside. Add carrots to the remaining sauce and toss until all are well coated. Transfer carrots to the air fryer basket.

Air fry until carrots are roasted and fork tender, tossing every 7 minutes, for 15 to 22 minutes. Mix orange juice with reserved honey-butter sauce. Toss with carrots until well combined. Season with salt and pepper.