The phrase "is working to complete" is correct and usable in written English.
You can use this phrase when referring to someone or something attempting to finish a task. For example, "The project team is working to complete the report by the end of the week."
Out2Play is working to complete roughly 40 more playgrounds before it closes.
There, her staff is working to complete a new master plan for the city and to update a zoning code created more than half a century ago.
The Senate majority leader, Harry Reid of Nevada, is working to complete that bill and has asked his colleagues not to discuss specific provisions.
Gary O'Hagan, the president of the coaches division for International Management Group, which is representing Ruland, said he is working to complete the contract with Iona and should know in the next few days whether Ruland will sign or not.
The administration also is working to complete a $2 billion OPIC agreement to guarantee U.S. private investments in oil and gas development, one of Russia's best potential resource areas, officials said.
He met with business executives, attended conferences and interned with the N.B.A. "I'm blessed and fortunate to run into the right people who have my best interests at heart and show me the way that they did it," said Smith, who is working to complete his M.B.A. at Seton Hall.
The article also misstated the name of the group that has been working to complete the trail.
They also accused him of going fly-fishing when he allegedly should have been working to complete the movie.
Relief workers in Ecuador have been working to complete four other shelters, which together will be able to house 230 people.
And regulators are working to complete a long-pending rule on executive compensation designed to limit excessive risk-taking at financial firms, Ms. Yellen said.
