CLEVELAND, Ohio – Of the nearly 400,000 Ohio coronavirus cases reported since the beginning of vaccinations in mid-December, 34 are known to have involved people who were vaccinated before being infected, the Ohio Department of Health said Friday.Among these 34 cases, five resulted in hospitalization, and there have been zero deaths, the health department said in responding a request from earlier in the week from cleveland.com and The Plain Dealer.It’s not clear, however, how soon these people became infected after being vaccinated, and how many of the cases involved people who had received all their required shots.To date, at least 3.1 million vaccinations have been started in Ohio, with nearly 1.8 million people receiving all required doses.The first Ohio vaccines were administered on Dec. 14.“COVID-19 vaccines are safe and effective when it comes to preventing hospitalization from severe COVID-19 and death,” a spokeswoman said in an email providing the details.“However, as we have heard when these vaccines received FDA authorization, their efficacy rates vary, as did their efficacy studies. There is a small chance with each vaccine, much like there is with a flu shot, that despite being vaccinated, you may still contract COVID-19. When this happens, because of the protection you have from the vaccine, the case tends to be milder.”Local health departments are reporting “any cases where someone who has been vaccinated later gets COVID-19 to the Ohio Department of Health.” Specimens are provided to the health department lab for “viral sequencing,” the state said.Previous storiesWith vaccinations up, why aren’t Ohio coronavirus numbers going down?Ohio’s coronavirus case rate increases; 55 counties on red alert this weekObamacare now cheaper for millions because of big health insurance changes in stimulusHow to claim your unemployment tax break under new stimulus; other coronavirus-related tax mattersHere’s what’s in the latest COVID-19 relief bill, including $5,600 in stimulus payments for a family of 4