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Cut the tips off of 12 asparagus (1 1/2") and set aside.
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Discard cut bottom ends of asparagus. Cut asparagus stalks into 1" pieces.
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Cook onion and asparagus in oil in large fry pan over medium heat, stirring often till softened (I cover the pan).
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Pour this into large sauce pan.
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Add broth and simmer on low medium about 15-20 minutes.
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While soup simmers, cook reserved asparagus tips in boiling salted water until just tender (3-4 minutes).
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and drain.
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Puree soup in a blender (or hand blender) until smooth.
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Ladle into bowls and season with salt and pepper.
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Garnish with asparagus tips.