"undertake everything" is a perfectly acceptable phrase in written English.
It can be used in a variety of contexts, usually to indicate a commitment to do something. For example, you could say: "I will undertake everything necessary to ensure the success of this project."
As inmates undertake everything from telemarketing to the manufacturing of computer circuit boards and furniture, the change has caused a growing debate, playing out in state legislatures and in two bills before Congress, over the role the nation's two million prisoners should play in its economy.
The committee was also obliged "to undertake everything that is in its power and authority to preserve order and discipline in the country and will counteract all possible actions that could be directed against the Italian authorities".
"We have undertaken everything in our powers to retain Xavier's services.
In 1914, Russia undertook everything possible to not lose another major war -- as they did in 1905 against Japan.
He undertook everything to prepare his death with a right-to-die organization, yet described his WTD as "still hypothetical".
Everything I undertake – or refrain from undertaking – is weighed up against the cancer that is hidden away all the time in my body.
College officials attribute their growing preoccupation with athletic success to a number of societal and other influences, including expansion of postseason play in Division III, higher skill levels among high school athletes, tendencies toward a winner-take-all attitude in society and published rankings of colleges that elevate those perceived to be successful in everything they undertake.
Everything we undertake in life requires a skill set.
The first step in everything you undertake is to consciously choose what you want!
2. The second is courage -- courage to do and be your very best in everything you undertake.
We would be wise to infuse the process with all the knowledge, perspective, and finesse we bring to everything we undertake at this stage in life.
