Whiz the carrots, shallot and ginger in a blender or food processor until finely chopped. Scrape down the sides, then add the miso, vinegar and sesame oil. While the machine running, slowly drizzle in the grape-seed oil and the water.
Divide the lettuce among four bowls, add some of the onion and a quarter of the avocado. Drizzle with plenty of dressing and serve.
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