to continue hoping even when it seems impossible
продолжать надеяться, даже когда это кажется невозможным (prodolzhat nadeyatsya dazhe kogda eta kazhetsya nevozmozhnym)
"They hoped against hope that their team would win."
"Они надеялись, вопреки всему, что их команда выиграет." (oni nadeyalis vopreki vsemu chto ikh komanda viygraet)
an older person trying to look younger
to express oneself in a way that is easy to understand
to feel affection or fondness for someone
to agree on a compromise between two opinions or prices
A very close competition
to improve or advance to a higher level