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thanks for your question.
Yes you can continue to operate your business. In fact, although the IRS has a lien on your business, and even though they may foreclose on the lien, they will generally not take the property that is required to earn your income; but they may garnish your business earnings to the maximum extent by law.
FYI: you can request a hearing: http://www.irs.gov/pub/irs-pdf/f12153.pdf