The phrase "a determination to keep" is correct and usable in written English.
It can be used when expressing a strong resolve or commitment to maintain something, such as a principle, goal, or relationship.
Example: "She had a determination to keep her promises, no matter the circumstances."
Alternatives: "a resolve to maintain" or "a commitment to uphold".
In the aftermath of Friday night's attacks, there is a determination to keep the peace.
Mr. Kennedy wanted to project vigor and a determination to keep on going.
For decades, British diplomacy has been guided by a determination to keep a seat at the table.
Part of her reaction to the years of trauma appears to have been a determination to keep very busy.
It starts with the best of ambitions: a determination to keep to a rigorous workout routine and a sensible diet.
It's the hard-working, plain-speaking folks who share a love for their city and a determination to keep it strong.
But they do need a gusto for taking on the issues of the day, real empathy for the people on all sides of a dispute and a steely determination to keep going until they come up with solutions that most can live with.
Whether this gives Mrs. Smith solace seems to depend on her emotional state, which fluctuates wildly day to day, even hour to hour, from grief and pride to a gnawing emptiness then a fierce determination to keep his memory alive.
"We have got a fantastic group of players and a real determination to keep going.
Macroeconomic policy essentially, a new determination to keep inflation down and to create a franc fort went sharply rightwards.
Universities showed "a strong determination to keep the details of decisions on senior pay a closely-guarded secret", said Hunt. "That this is happening in public institutions which are largely funded by the taxpayer and students makes the lack of transparency and accountability surrounding senior pay and perks a national scandal".
