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In Kentucky, random drug tests are only legal if employees are selected "using a statistically valid, unannounced random method." (See 803 KAR 25:280) Deciding to test everyone at a particular job site would not meet this definition of random. So, unless there was some reasonable suspicion for asking to test you, the test is arguably a violation of your 4th Amendment right against unreasonable searches, and by extension, any admission you made regarding drug use could not be held against you with regard to your continued employment.
If your employer is trying to characterize this as you "voluntarily terminating" your employment, that would be improper. First, it would be improper because it does not accurately characterize what you did--you simply admitted to drug use. Second, termination on this basis would stem from a violation of your 4th Amendment and thus be an illegal termination.
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