WASHINGTON AP – Supreme Court justices regularly confront cases involving companies they own shares in or that employ a family member. The decision is easy – the justices have a conflict of interest that forces them to play no role in the case.

But what happens when the issue is less clear and a judge has the appearance of a conflict, but no personal stake in the outcome of a dispute The court is considering a case that asks whether the Constitution requires judges to step aside in that instance.