***They won't react in the direction you want them to***
The cell Ag+|Ag||Li+|Li has a very, very negative E, as written. However, if you were to make that cell, a reaction WOULD occur, most definitely. Regardless of the conventions about the order they're written implying anode/cathode respectively, if you were to make that cell, electrons would flow, and Ag+ would be reduced. To make that cell electrolytic, and to run as written, you would have to apply current to the Ag+/Ag electrode.