Can we require owner-employees of a business we’re buying to sign noncompete agreements?

Q. My company is in the process of purchasing a small printing business, and we plan to retain several of the owner-employees of the acquired business. As a part of the purchase-and-sale agreement, we would like to take steps to protect our customer base by restricting the competitive activities of the owner-employees for five years. Additionally, we are interested in restricting the activities of an employee who is not a party to the transaction, but is married to one of the owners of the business. May we do so? What are some basics about noncompete agreements?