The phrase "able to continue doing" is correct and usable in written English.
It can be used when expressing the capability or capacity to persist in an action or activity.
Example: "After the break, I was able to continue doing my work without any distractions."
Alternatives: "capable of persisting in" or "able to keep on with".
But they said they would not be able to continue doing so if costs kept climbing.
Hopefully they'll be able to continue doing that long into the future.
In many cases, employers who take the subsidy will be able to continue doing just what they did before".
That was my primary concern about leaving -- whether I would be able to continue doing this type of work outside this agency.
Many of the states believe that the settlement is so full of loopholes that Microsoft would be able to continue doing more or less whatever it likes.
What I felt was regret that he didn't have more time, that he wasn't going to be able to continue doing the thing he loved.
I wouldn't have hung around so long if I didn't like the job and if I didn't think I was able to continue to do it".
"It's not everybody my age who is able to continue to do work that he likes to do," he said.
People aged 65+ years were more likely than younger people to define well-being as being able to continue to do the things they had always done.
14 People aged 65+ years were more likely than younger people to define well-being as being able to continue to do the things they had always done and less likely to mention life satisfaction.
However, people aged 65+ years were more likely than younger people to define well-being as being able to continue to do the things they had always done: 14% = 31 compared with 6% = 22 of people aged 45 64 years and 4% = 18 of those aged 16 44 years (chi-square 24.815, 4 d.f., P = 0.001).
