At one stage it looked as though they would win.

有一段时间，他们好像大有获胜的希望。

《牛津词典》

The Europeans had hoped to win, and, indeed, had looked like they would win.

欧洲人原本希望能赢，而且当时看起来他们的确会赢。

《柯林斯英汉双解大词典》

youdao

He said once the people understood that it was a war for democracy, they would win it quickly.

VOA: special.2009.11.12

They would win the election.

他们将赢得这个选举

耶鲁公开课 - 博弈论课程节选

Officials in Tokyo have expressed confidence they would win any legal confrontation, which threatens to destabilize relations between the Asia-Pacific partners.

VOA: standard.2010.02.20

If they believed they would win, they could have gone to trial and sought their costs.

BBC: Met Police payout for rape complainant

Strangely, Independents (whom both sides thought they would win) stood in line as long as Democrats.

FORBES: The Myth About Democrat Voter Suppression In the 2012 Elections

If Republicans did perform that well with Latino voters, they would win Presidential elections.

FORBES: California Republicans Need To Cooperate With Latinos On Border Issues