to remain hopeful that something might happen or be true even when it seems unlikely

उम्मीद बनाए रखना

English Usage: Despite the challenges, she continued to hold out hope that everything would turn out well.

Hindi Usage: सभी चुनौतियों के बावजूद, उसने उम्मीद बनाए रखी कि सब कुछ ठीक हो जाएगा।