The phrase "a normal life of" is correct and usable in written English.
It can be used when describing the typical or expected lifestyle associated with a particular person, group, or situation.
Example: "After years of traveling, she longed for a normal life of stability and routine."
Alternatives: "an ordinary life of" or "a typical life of".
There were times I wanted to give it up, go back and live a normal life of sorts, but they kept me going".
After the trauma of that battle, Brandon and his best pal, Steve Shriver Channing Tatumm), are especially relieved to be done with their tours, and they return home to Brazos, Tex., looking forward to a normal life of Lone Star hell-raising.
"The type of young women that come here live a normal life of drinking, boyfriends and partying.
By the end of the film, when we see James return to the requisite, estranged wife (Lost's Evangeline Lilly) and kid, it's not exactly a revelation to find out that the safety of domesticity and a "normal" life of cleaning gutters and shopping for cereal stateside holds no appeal to our protagonist.
I will hold a sign on a corner, work 10 jobs if I have to because anyone who faces what you face every day and still wants a great education, wants to live a normal life of a young adult, deserves to have that.
Securing safe access to assistance is the just one step on the road to building some semblance of a normal life for the people of eastern DRC.
The tapes have a normal life span of 10 years.
A normal life, full of books for Cordelia, games for Brendan and pony dreams for Eleanor.
I believe I have the right to live a normal life — free of fear, free to visit whomever I please.
The town's residents often try to protect Lee, allowing her to live a normal life instead of being hounded by fans or bothered with prying questions.
But everything else is gone: the chance of a normal life, the chance of a normal relationship.
