Before revision:  We show that if \mathcal{A is stretchable and every edge e either entirely lies on a pseudoline or intersects at most one pseudoline, then G and \mathcal{A have a straight-line aligned drawing.
After revision:  We show that if \mathcal A is stretchable and every edge e either entirely lies on a pseudoline or intersects at most one pseudoline, then G and \mathcal{A have a straight-line aligned drawing.