in a way that seems impossible or difficult to understand because of containing two opposite facts or characteristics

The big thing in video equipment is, paradoxically, sound. 矛盾的是，视频设备中最重要的是声音。

Paradoxically, the cleaner lakes have made it easier for foreign species to thrive. 矛盾的是，更清洁的湖泊让外来物种更容易繁衍生息。