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Scrub the carrots and cut into 2- x 2-1/2-inch pieces.
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Slice the zucchini diagonally into 1/2-inch thick slices.
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In a medium bowl, toss the vegetables with the olive oil until well coated.
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Place the vegetables on the barbeque grill; grill over medium-low heat 4 to 6 minutes for the zucchini and 8 to 10 minutes for the carrots, turning often, until browned and tender.
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Watch the carrots carefully as their natural sugar gives them a tendency to burn easily.
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Meanwhile, in the same bowl, combine the mayonnaise, sour cream, garlic, lemon zest, salt and pepper.
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Add the cooked vegetables to the mayonnaise mixture; toss well.
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Spoon into a serving bowl; sprinkle with the toasted sesame seeds.
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Serve hot or at room temperature.