on the run

基本解释

He says the extremist cleric is on the run and keeps changing his locations.
他說，這名在逃的極耑分子教士不斷改變他的藏身地。
Always on the run, they have no time to harvest rice, so they survive largely by eating bugs and tree roots.
時時刻刻在逃命，他們沒有時間收割莊稼，於是大多數時候靠喫蟲子和樹根爲生。
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.
隨著他們繼續尋找是誰搭了這樣一個小茅屋，他們發現這個人在逃跑中，在一個又一個的避難処遷移，衹要有伐木工或者專家們接近，他就捨棄一個茅屋跑到另一個茅屋去。

"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.
或者在你和自己的軍隊之間,形成一個缺口,這樣有會造成慘重的傷亡,你很快會全軍潰逃,或者你以某種方式和部隊溝通,全都過來這邊,這樣仍會使一側對敵人敞開,從而受到對方攻擊
耶魯公開課 - 古希臘歷史簡介課程節選
You're not on the run from the FBI? We can ask you why?
請問沒被FBI通緝吧?
耶魯公開課 - 博弈論課程節選

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