Since there is not an employment contract, you would typically be considered an employee at will and could be terminated without good cause unless the employer violates one of the exceptions to the employment at will doctrine.
Once exception that may be involved here is age discrimination if the employer is terminating employees 40 and older and hiring younger employees or otherwise treating older workers less favorably than similarly situated younger workers.
For this, you would typically file a complaint with the state employment commission alleging age discrimination and seeking lost wages and benefits.
It is best to retain an attorney to represent you in this matter and look for one who takes contingency fee cases if possible.
The fact the employer did not provide you with good cause for terminating your employment means you should also qualify for unemployment benefits.
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