Wiktionary
phr. Even if something seems to become more and more unlikely, do not stop believe in it.
Wikipedia
"Keep Hope Alive" is a single featured on the studio album Vegas by the electronica group The Crystal Method. This single was released October 1, 1996 on the City of Angels label, and received 4.5 out of 5 stars in a review from Allmusic. The single was re-released July 10, 2001 on the Moonshine Music label. Vocal samples for the song are taken from a 1992 speech by Jesse Jackson titled "You Do Not Stand Alone."
"Keep Hope Alive" is used in an early action sequence, and found on the soundtrack, for the movie The Replacement Killers. It is used as the theme song for the TV show Third Watch. The song is featured in the video games FIFA: Road to World Cup 98, Project Gotham Racing 4 and Motor Mayhem. A live version of the song is featured on the Family Values Tour 1999 CD.
The Third Watch episode "True Love" also used their earlier song "Now Is the Time".
Usage examples of "keep hope alive".
As a boy he needed unlimited brashness, first to keep hope alive, then to bring himself to the attention of those high and mightinesses who could help him.
He is real enough to comfort Blanche and to keep hope alive that someday she'll be rescued from loneliness.