If they are coplanar in a Euclidean space, then yes. If they are not coplanar or not in Euclidean space, then not necessarily.
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Then they are not parallel, nor skew (in 3D).
are two lines that are not parallel, coplanar, and do not intersect
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.
Two parallel lines.