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The first day to file taxes with the IRS will officially start on January 23. However, you can get started at anytime with online tax filing and get your refund as soon as possible. Four out of five returns have also been projected to be prepared using tax return software and e-filed.
So - to address your question - yes - you may file your tax return by mail in the first week of January 2013 - but to expect faster refund - you better wait when the IRS starts accept e-file. Let me know if you need any help.