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If the Dragonborn exits dialogue anytime during this conversation, Astrid will say, astrid "I'll cut right to it. You murdered the old woman in this orphanage. You owe the Dark Brotherhood a kill. I've come to collect.
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Old hag gets butchered in her own orphanage? Things like that tend to get around. Oh, but don't misunderstand. I'm not criticizing. It was a good kill. Old crone had it coming. And you saved a group of urchins, to boot.