They may have just been sloppy with their arrows....
But you can conceive of electron flow where the acid carbonyl lone pair goes to the anhydride carbonyl, the bond to the anhydride bridging oxygen breaks and the associated electrons take up the acid hydrogen, the electrons of the bond to the acid hydrogen move to make the acid OH oxygen the new carbonyl. There is a cyclic flow of electrons and it all goes in one step. Possibly concerted.