Goutweed/ Goutweed (Aegopodium podagraria) is really pretty but I totally understand about the invasive concerns ... we have a lot of plants here in Fla. that seem to want to take over the state! I bet it's almost impossible to eradicate all of the underground rhizomes so I guess digging, monitoring the area, digging and more digging is the only way to keep it under control or to get rid of as much as possible ... an on-going job for sure!