Hello – we make newspaper logs simply by rolling the newspaper as suggested below, but then wrapping them with masking tape around the middle to hold them together. No looking for wire to hold them closed or having to sift the wire or can ends out of the ash after they burn.
We used to have a roller – it rolled them tighter but was difficult to get the rolled log off the roller.
We also have tried wetting them but the drying process was so long that we didn’t have places to store a signifcant number of logs during the process.
Hope this information helps