Bring a large pot of water to a boil and salt it generously. Fill a large bowl with ice water and salt that as well. Drop the broccoli into the boiling water and cook, uncovered, until crisp-tender, about 2 minutes. Scoop them out of the water and immediately plunge the broccoli into the ice water; this stops their cooking and sets their color. Cool, remove them from the ice water, and pat dry. Repeat with the asparagus, cooking 1 to 2 minutes depending on how thick they are.
Arrange all the vegetables on a large serving platter and serve with the chipotle dip.
For the dressing: Smash the garlic cloves, sprinkle with the salt, and, with the flat side of a large knife, mash and smear the mixture to a coarse paste. Scrape the paste into a small bowl, add the remaining ingredients, and whisk well to make a creamy dressing.
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