The phrase "actually have to work" is correct and usable in written English.
It can be used to emphasize the necessity or obligation of performing a task or job, often in a context where someone might not want to do it.
Example: "I thought this would be an easy day, but it turns out I actually have to work on the project."
Alternatives: "really need to work" or "truly have to work".
The candidates actually have to work to get some substance into their answers.
I actually have to work pretty hard to clear Sundays to make sure they're not work days for me.
NG: I actually have to work as a lawyer to pay the bills and subsidise my cartooning habit.
Most of its people actually have to work, and increasingly there are not enough jobs or houses for newly-weds to go round.
His father was a scrivener, a job that went beyond the drawing up of legal documents and included moneylending, which he apparently did with such success that his son did not actually have to work for a living.
Grant Teaff, mouthpiece for the big-time college coaches, is against it because the coaches might actually have to work with student-athletes instead of just throwing meat at semiliterate gladiators.
Over the course of her career, Warren has been able to advocate for struggling people without actually having to work for— and thus inevitably disappoint — them.
It's nice to read a book where your brain actually has to work and where you feel as though you know or achieve something by reading it.
Indeed, some argue that the local elections on March 1st were a watershed for the party because they were the first elections since 1994 that it actually had to work at winning.
For starters, he actually has to work -- in the movie, he sells freelance photos of Spider-Man and delivers pizzas -- and he needs to take menial jobs that he doesn't like.
Amusingly, the nearest the film gets to interviewing anyone who actually had to work with Benn is resurrecting the taped, exasperated voice of Harold Wilson, who said Benn "immatured with age".
