(CNNMoney.com) — For the first time in more than two years, the number of Americans filing for their first week of unemployment benefits fell below 400,000 last week — a ray of hope in the one of the longest job droughts in U.S. history.

The number of initial claims fell to 388,000 in the week ended Dec. 25, down 34,000 from the week before, the Labor Department said Thursday.

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