Q: How can I stop underlining through the left "margin" in links that extend over more than one line?

The face org-link inherits from the face link , which has the underline attribute set to t (or at least it does by default). Ordinarily, that's all well and good. It gets ugly, however, if the description of the link is sufficiently long that it wraps onto more than one line, as in the following screenshot:

The screenshot shows the underlining extending from the left margin all the way to indentation. That's a pretty ugly visual tick. Is there any way to keep underlining for links, and yet not have the underlining extend from the margin in this way?