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If you do not properly quarantine a vaccinated chick for at least 10 days, it can get Marek's. It may not show symptoms, but will shed the virus. Quarantine means starting the chicks in a sanitized brooder with sanitized equipment, not putting the brooder in the coop, not wearing the same clothes in the coop that you wear taking care of the chicks, not letting the kids pet the chickens and come in and handle the chicks, not storing the chick food in the coop, washing your hands before handling the chicks, etc, etc, etc. It's a pain in the butt, but it can save your flock. It is my personal opinion that lack of quarantine is the reason for vaccine failure. A vaccinated chick can harbor marek's if it was not properly quarantined.
ETA: The vaccine does not just prevent symptoms. It prevents the disease if the chick was properly vaccinated and quarantined. If the chick was vaccinated but not properly quarantined you may end up with a bird that has the disease but has enough immunity to not show symptoms. The quarantine is just as important as the vaccine.