"Correct" really depends on what you actually want to study. If your system of study is a strip of a 2D material with the actual edges, then - yes - you have to cut the edges by increasing the lattice parameter in the corresponding direction, and may or may not do passivation of the edges with hydrogen - again depending on what you want to do.
You can always visualize periodic images by using the Repeat plugin in the Builder -> Bulk Tools -> Repeat. You will then see an array of nanoribbons, but do not forget to undo the Repeat before submitting the structure from the Builder to the Scripter.