They're not romantically involved.

他们并没有堕入情网。

《牛津词典》

youdao

For example, in the case at hand, the man must decide, in the absence of complete information, whether the woman is romantically interested in him or not.

例如，在本案中一共有四种可能，见图。在信息不完全的情况下，无论女人对他是否有浪漫的兴趣，该男子必须做决定。

youdao

Sources close to Kelley said she had not been romantically involved with Petraeus.

CNN: STORY HIGHLIGHTS

Though he hated laissez- faire economics and the profit motive, and though he believed passionately in the dignity of labour, he was not a left-wing radical, instead holding a romantically traditionalist, organically hierarchical view of society.

ECONOMIST: Art history

Although critics did not rate Dabanng2 highly, Khan's fans clearly did - there were catcalls when he romantically courted the heroine, loud whistles when he showed his dance moves and resounding claps when he beat up the "baddies".

BBC: The controversial Salman Khan