Here is my experience with Passports.... (my current passport expires in april)
If you would have handed your forms in person, it takes 2 weeks. If you mailed the form in, then it takes 20 business days. I actually called last night to get details about my situation., and I was told to expect a 60 wait to get a passport.
I am guessing that the day they charged your credit card is the day they started processing your form. Then you should add 20 business days (4 weeks) onto that date. The good news is that when they are finished processing your passport, they will overnight it back to you.
So you should be ok if your trip is at the end of march.
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