on the run

基本解释

He says the extremist cleric is on the run and keeps changing his locations.
他说，这名在逃的极端分子教士不断改变他的藏身地。
Always on the run, they have no time to harvest rice, so they survive largely by eating bugs and tree roots.
时时刻刻在逃命，他们没有时间收割庄稼，于是大多数时候靠吃虫子和树根为生。
As they continued to search for whoever had built that hut, they discovered that the man was on the run, moving from shelter to shelter, abandoning each hut as soon as loggers—or the agents—got close.
随着他们继续寻找是谁搭了这样一个小茅屋，他们发现这个人在逃跑中，在一个又一个的避难处迁移，只要有伐木工或者专家们接近，他就舍弃一个茅屋跑到另一个茅屋去。

"They are on the run and trying to block the exodus of civilians from the area."
Either you open a nice hole between yourself and the rest of your army, in which case somebody's going to get very badly killed and you're going to be on the run very soon, or you have to somehow communicate to the rest of the army, "Everybody come over this way," which will still leave that flank open to being flanked by the other side.
或者在你和自己的军队之间,形成一个缺口,这样有会造成惨重的伤亡,你很快会全军溃逃,或者你以某种方式和部队沟通,全都过来这边,这样仍会使一侧对敌人敞开,从而受到对方攻击
耶鲁公开课 - 古希腊历史简介课程节选
You're not on the run from the FBI? We can ask you why?
请问没被FBI通缉吧?
耶鲁公开课 - 博弈论课程节选

You know, of course I teach full time at Princeton, but usually on the run.
NPR: Carly Simon's 'Never Been Gone'