You use advantageously when something is done, placed, or arranged in a way that helps, and that makes success more likely. The shop is advantageously located means the place itself is a help to the business. It is simply advantageous with -ly on the end, so it has the same slightly formal feel. In everyday English, people more often say in a good position or the location helps. You do not use it to mean luckily or fortunately — those are about chance, not about a helpful arrangement. Though actually, writers sometimes stretch it: to be advantageously placed can just mean you sit where you can see well, with no big success attached.

有利地