Both Molina Healthcare Inc. and Centene Corp. have worked in Ohio Medicaid since mid-2000s when the state started bringing on non-governmental managed care to the insurance program for the poor and disabled. Together the publicly traded companies employ about 725 in Ohio and project they’ll account for 425 of more than 1,000 new managed-care jobs coming to the state this year through the expansion of contracts with the state, as I reported in this week’s paper. It nearly was not so. For a…