How are some Asexual people in romantic relationships?

Romance implies attraction, it might even be part of the definition. I'm confused how someone can even have romantic feelings for another person, and not want to touch them. It feels more like those people want friends of whatever gender they like associating with, but nothing deeper. Like if I were to have a female friend I found attractive that also found me attractive and we liked hanging out, as friends, and it never went any further how would that be any different than an Asexual relationship? Is it the same, just without a label?