What is it called when a line of poetry continues on to another line both in sense and in grammar?

The answer is enjambment lines. Enjambment is the continuation of a sentence or statement over a line-break. In the event that an artist permits every one of the sentences of a sonnet to end in an indistinguishable place from normal line-breaks, a sort of stifling can occur in the ear, and in the cerebrum as well, as every one of the considerations can wind up being a similar length.