The Project Tasks list has the following Alert Me options:
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Anything changes
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I am made owner of a Task
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A Task is assigned to me
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A Task becomes complete
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A high priority Task changes
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Someone else changes a Task owned by me
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Someone else changes a Task assigned to me
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Someone else changes a Task
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Someone else changes a Task created by me
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Someone else changes a Task last modified by me
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Someone changes an item that appears in the following view:
