IRONORE/ Mining trio Rio Tinto RIO.AX, BHP Group BHP.AX and Fortescue Metals FMG.AX added between 1% and 2%. July 14 (Reuters) - Australian shares rose on Thursday, lifted by mining and gold companies after a sharp rebound in commodity prices, although worries over hot U.S. inflation data and an impending rate hike capped gains. Leading gains on Wednesday, export-centric miners .AXMM advanced as much as 1.3%, snapping from a three-day losing streak, as iron ore prices strengthened on the back of an optimistic China export reading for June.