I don't think there's any way to avoid them since they are integral to the leaf. Removing them all would shred the leaf, basically, to a degree where it would make rolling impossible. However the best leaves usually have smaller veins simply because the leaf is what you want, it has the most flavor.
One issue is that the veins are what transport the nutrients to the outer edges of the leaf, so small veins might make for a less flavorful cigar. But then again too many large ones and the whole thing will taste like wood and will burn poorly as well.
One issue is that the veins are what transport the nutrients to the outer edges of the leaf, so small veins might make for a less flavorful cigar. But then again too many large ones and the whole thing will taste like wood and will burn poorly as well.