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Why are Hale and Parris so quick to urge Danforth to accept Proctor's confession?
They both greatly want Proctor to live.
They do not want Elizabeth to have to raise the baby alone.
Parris believes that a confession will vindicate him; Hale believes Proctor is innocent and doesn't want him executed.
Parris is concerned about his money and Hale is about his reputation and they think Proctor will help them regain those things.
They are both trying to regain favor with Danforth.