stay on
phrasal verb with stay verb uk/steɪ/ us/steɪ/
C1 留下继续（工作、学习等）
to continue to be in a place, job, or school after the other people who were with you have left
Gill decided to stay on at university to do further research. 吉尔决定留在大学继续进行研究工作。
We asked him to stay on as youth leader for another year. 我们请他再担任一年青年协会会长。