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1
In a large saucepan, combine rice and water; let stand for 30 minutes. Bring to a boil. Reduce heat to low; cover and simmer for 15-20 minutes or until water is absorbed and rice is tender. Remove from the heat. Let stand, covered, for 10 minutes.
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2
Meanwhile, in small bowl, combine the vinegar, sugar and salt, stirring until sugar is dissolved.
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3
Transfer rice to a large shallow bowl; drizzle with vinegar mixture. With a wooden paddle or spoon, stir rice with a slicing motion to cool slightly. Cover with a damp cloth to keep moist. (Rice mixture may be made up to 6 hours ahead and stored at room temperature, covered with a damp towel. Do not refrigerate.)
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4
Place asparagus in a steamer basket; place in a large saucepan over 1 in. of water. Bring to a boil; cover and steam for 3-5 minutes or until crisp-tender.
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5
Place sushi mat on a work surface so mat rolls away from you; line with plastic wrap. Place 2/3 cup rice on plastic; with moistened fingers, press rice into an 8-in. square. Top with one nori sheet.
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6
Arrange a small amount of vegetables and avocado about 1-1/2 in. from bottom edge of nori sheet. Lifting bottom edge of the bamboo mat, roll up the rice mixture jelly-roll style, being sure to lift plastic from rice. Roll bamboo mat over sushi roll, pressing firmly, to make a more compact roll. When the roll is complete, tighten the roll to make more compact. Remove mat; cover roll and set aside. Repeat with remaining ingredients to make seven rolls.
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7
Cut each into six pieces. Serve with soy sauce and wasabi.