Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Toss the sliced carrots with extra virgin olive oil, half of the sea salt, and half of the black pepper directly on the baking sheet.
Roast the carrots for 20-25 minutes, tossing halfway through, until they are tender and show golden caramelized edges.
While the carrots roast, pat the shrimp dry with a paper towel and season them with smoked paprika and the remaining salt and pepper.
Heat the ghee in a large skillet over medium heat until melted and shimmering.
Add the minced garlic to the skillet and sauté for about 1 minute until it becomes fragrant but not browned.
Increase the heat slightly and add the shrimp in a single layer, cooking for 2-3 minutes per side until they turn pink and opaque.
Turn off the heat and stir in the fresh lemon juice and chopped parsley, tossing the shrimp to ensure they are well-coated in the garlic butter.
Plate the garlic butter shrimp alongside the roasted carrots and serve immediately while hot.