it is not appropriate to use the terminology PDA in adults as the ductus arteriosus would have closed by then, therefore not "patent". Insertion of ductus arteriosus is a much better alternative.
https://www.uptodate.com/contents/clinical-manifestations-and-diagnosis-of-coarctation-of-the-aorta
According to uptodate: Coarctation of the aorta (CoA) is a narrowing of the descending aorta, which is typically located at the insertion of the ductus arteriosus just distal to the left subclavian artery
https://next.amboss.com/us/article/4403jT?m=zrarPN#Zc3c9c3d344aebcd85120ce46cb2d8468
Amboss article shows an obliterated ductus arteriosus.
Quote from FA 2023: Aortic narrowing near insertion of ductus arteriosus (“juxtaductal”)
Source: AMBOSS - https://next.amboss.com/us/article/4403jT?m=zrarPN#Zc3c9c3d344aebcd85120ce46cb2d8468