"secluded life" is correct and usable in written English.
You can use it when you want to describe a life that is solitary, private, and away from the public eye. For example: "The hermit chose to lead a secluded life in the mountains, away from the hustle and bustle of city life."
The new leader, he noted, was emerging from "a completely secluded life, where he had no contact with anyone".
GdT: The character in the film is a very prissy antiquarian that lives an incredibly secluded life.
For 21 years, she lived a relatively secluded life in the order's contemplative wing, passing her days in solitary prayer and ministering to the poor.
Mr. Hoffman had become a movie star but partly because this was West 11th Street had continued to live a relatively secluded life.
Both the prince and his bride have seemed to aspire to a new pact with the public, hoping for a more secluded life together after a royal past littered with scandals, not least involving the prince's parents, Charles and Diana.
A niece of the clergyman and author Charles Kingsley, she led a secluded life until she was about age 30, when she decided to go to West Africa to study African religion and law, with a view to completing a book left unfinished by her deceased father, George Henry Kingsley.
In the late 1960s Mr. Searle and his second wife, the former Monica Koenig, moved from Paris to secluded country life in southeast France, near Cannes, where he continued to work.
Their secluded, nomadic life held the key, she came to believe, to Chandler's work and his most famous creation, Marlowe, "with whom he shared a very particular kind of loneliness as well as a sense of sexual anxiety and a code of honor".
"When I did not have those two luxuries, I felt quite alone and secluded from my life.
She spent the last 20 years of her life secluded in hospital rooms in New York, despite being reasonably healthy and having mansions on both coasts and luxury apartments in New York.
For a start there was the cold silence of the empty church and the bare room adjoining it: the site where Julian spent years of her life secluded from society, immersed in hallucinatory visions that she was convinced were sent to her direct from God.
