'undertaking a mission' is correct and usable in written English.
You can use it when you are talking about a task or action that is being taken on. For example, "The astronaut is undertaking a mission to explore the possibilities of life on Mars."
ALEPPO, Syria — In the heart of rebel-held territory in Syria's northern province of Aleppo, a small group of intrepid Westerners is undertaking a mission of great stealth.
Luol repays that nation by undertaking a mission impossible against overwhelming odds… He has never wavered and I hope you guys are proud of him because you bloody well should be".
A1 A senior Israeli military official said there was no point in America's undertaking a mission to rebuild the Palestinian security force while Mr. Arafat was in charge and that Israel needed to retain responsibility for security in the occupied territories.
Each level is completed by undertaking a mission, and each mission is labeled "Hero," "Dark," or "Normal".
This was refused, he went on, but a member of naval intelligence whom he had previously never met coaxed him into undertaking a mission in the UK on the condition that he could go to the US afterwards.
Vodafone is hoping to undertake a mission to repair the mast without disturbing the bird.
When the team undertakes a mission into the realm of fiction, it's Sue's favourite texts that drive their adventures.
It is arguably the most audacious maritime adventure ever undertaken – a mission worthy of James Cook or Christopher Columbus to unlock the secrets of unknown seas and faraway lands.
Lincoln's request, he undertook a mission to the Border States and to the Northwest to rouse Unionist sentiments among their citizenry.
Single young men, generally between the ages of 18 and 25, undertake a 24-month proselytizing mission, and single young women age 19 and older undertake a mission of 18 months.
"We've had the engineering capability with chemical propulsion to undertake a mission to Mars for years, for decades," said Les Johnson, who heads the exploration transportation technologies portion of the advanced space transportation program at the Marshall Space Flight Center in Huntsville, Ala.
