The phrase "to run the journals" means to manage or oversee the operations and activities related to a collection of written records, typically in a professional or academic setting. Full definition
My next project, once I complete the map, is to run all Journal News employees living in Westchester against the list I just got. (newrochelletalk.com)
We need to get the right people on board [to run the journals] so that we serve the scientific community in the way it wishes to be served and at the same not cut off the branch on which we're sitting. (sciencemag.org)
Last week, the two editors - in - chief of the Croatian Medical Journal (CMJ) resigned after what they say are years of obstruction by members of the management board that made running the journal virtually impossible. (sciencemag.org)