PrivatAir, a company that offers private flights to VIPs and executives, has signed Ink Publishing to helm a relaunch of its custom magazine in July. The 6,500-circulation quarterly, PrivatAir — the magazine, is offered on board PrivatAir flights and on all business-class services operated by partners Lufthansa, Swiss International Airlines and KLM, and at some luxury hotels in Europe and the Middle East. It's also direct mailed to PrivatAir clients and subscribers worldwide.