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I am sorry to hear about this situation. On this website, I do not always get to give good news, and this is one of these times.
Unfortunately, this is legal. Allow me to explain why. An employer generally has the right to terminate an employee FOR ANY REASON.
The only reasons one cannot be fired for are:
-PUBLIC POLICY (discrimination based on race, religion, creed, etc; or, a retaliatory termination due to a claim made by an employee); or
-CONTRACT POLICY (if one has a contract that disallows such a termination)
-COVENANT OF GOOD FAITH (firing an employee to avoid paying a benefit, for example)
Otherwise, an employer can terminate for any reason, without notice. It can be based on a mistaken rumor, or, just the fact that they do not like your shoes one day. You will hear "right to work" a lot. However, that does not mean what people think it means. All this means is that at time of being employed, the employee has a choice whether or not to join a union as a condition of employment.
So the employer mislead you as to the reason of your termination because they did not want to be outright rude, perhaps. But that does not mean that you can demand to be rehired, or sue for wrongful termination - the employer still had the right to terminate at any time.
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