'on the brink of ending' is correct and usable in written English.
You could use it to describe an event or process that is close to finishing, as in the following example: The two sides were on the brink of ending their dispute, but then a new problem arose.
Prince Charles is also on the brink of ending his fossil fuel investments.
Wells told himself: He's been on the brink of ending his life, ending races.
Rafael Benitez's reign as Chelsea manager was on the brink of ending last night after an astonishing rant at the club's owners and fans.
But Ms. Widel was on the brink of ending a four-year relationship with the high school boyfriend she had followed to Purdue from Singapore, where she had attended the Singapore American School.
The deal, which is expected to result in a formal contract by February, breaks an impasse over DI that was believed to have had GGSA on the brink of ending its involvement in the two schools.
Breaking Bad, in which a dying chemistry teacher becomes a drug baron, had been running since 2008 on the US cable network AMC and only received widespread attention here on the brink of ending, due to a sudden slew of valedictory reviews in the States describing it as the greatest TV show ever, a title previously held by The Wire or The Sopranos.
(See "Independence Day" and "The Day After Tomorrow," though not on the same day if you can help it). In the context of his oeuvre "10,000 BC" might be thought of as a kind of prequel, an attempt to imagine human civilization not on the brink of its end, but somewhere near its beginning.
(See "Independence Day" and "The Day After Tomorrow," though not on the same day if you can help it.) In the context of his oeuvre "10,000 BC" might be thought of as a kind of prequel, an attempt to imagine human civilization not on the brink of its end, but somewhere near its beginning.
I call it, "Philip, Demosthenes and the Fall of the Polis," and I read that to you because it's always useful to remember that while we look back on these events and know their outcome and can assign to them a special significance, let's never forget they didn't know that they were on the brink of the end of the independent polis.
We could be on the brink of the end of the United Kingdom as we know it.
In short, both sides want voters to feel as though we're teetering on the brink of the end of the world.
