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In April of this year, the case of Central Indiana Podiatry v. Kenneth Krueger held that noncompetition agreements are enforceable to the extent they are reasonable (time and geographic area). To be geographically reasonable, the agreement may restrict only that area in which the business has developed patron/client relationships using the busniess's resources. As for time, most non-competes should be 1-3 years.
If a non-compete agreement was signed, it is likely enforceable unless it is unreasonable with regard to geography and duration.