The phrase "demonstrate our determination" is correct and usable in written English.
You can use it when you want to express your commitment and dedication to a certain goal. For example: "We will demonstrate our determination to succeed in this project by staying focused and working hard."
"Whilst it is appropriate that all costs are fully accounted for, the most important thing is to demonstrate our determination to fight serious crime.
In response to Russia's violation of Ukraine's sovereignty and territorial integrity, and to demonstrate our determination to respond to these illegal actions, individually and collectively we have imposed a variety of sanctions against Russia and those individuals and entities responsible.
Mr Gates said the US was taking steps to "further strengthen deterrence and also demonstrate our determination not to be intimidated".
Thus, lulav and etrog demonstrate our determination to use our bodies to help other people and ourselves, to serve God, and to make the world more holy.
"The thorough and determined investigation carried out by South Wales Police and managed by the IPCC demonstrates our determination to tackle behaviour of this kind".
"During the quarter we added a number of top-quality players to our squad, which once again demonstrates our determination to challenge for trophies".
"Alongside our measures to give teachers powers to search pupils and impose same-day detentions, this demonstrates our determination to get tough on bad behaviour".
"Cyber criminals often reach across international borders, but this operation demonstrates our determination to shut them down no matter where they are.
"This action demonstrates our determination to come to the aid of Chad in the face of a foreign aggression," Mr. Quiles said at a news conference today.
"The board has worked very hard on behalf of the fans and the community at large to make an appointment which I believe demonstrates our determination to do the best we can to achieve promotion to the Championship.
