'in the face of difficulty' is correct and usable in written English. You can use this phrase when you want to talk about the determination or courage someone has when faced with a difficult situation. For example: "He was undeterred in the face of difficulty and accomplished the task despite the odds.".
Hope in the face of difficulty.
Hope that they will improve in the face of difficulty.
Mr. Schulte was splendid in the face of difficulty and fiercely sincere.
We are adept at smiling in the face of difficulty and realising that it's not all about us.
There will be no room for back-peddling or shapeshifting in the face of difficulties.
May all of us continue to be inspired by Horne's will to succeed and to overcome in the face of difficulties.
Field Marshal Montgomery thought that a leader "must have infectious optimism, and the determination to persevere in the face of difficulties.
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