The phrase "agreeing to construct" is correct and usable in written English.
It can be used when discussing a mutual decision or commitment to build or create something, often in a formal or contractual context.
Example: "After several meetings, both parties are now agreeing to construct the new facility together."
Alternatives: "consenting to build" or "committing to create".
To make things harder still, the developer, Bruce Ratner, agreed to construct a new public school inside the building's base.
In return for a share in the rights, he agreed to construct telegraph equipment and to bear the cost of obtaining American and foreign patents.
Methods: For consistency, the collaborating organizations agreed to construct the TK according to PAHO's methodology.
The Japanese Ministry of Education, Culture, Sports, Science and Technology, and the Ministry of Health, Labour, and Welfare agreed to construct synthesized early childhood care and education institutions.
In June 1998, Boris Yeltsin and Aleksander Kwaśniewski agreed to construct memorial complexes at Katyn and Mednoye, the two NKVD execution sites on Russian soil.
The Fox family, who were based at Neath Abbey, but who were scouring ironstone further up the valley, agreed to construct a new feeder in 1807 to mitigate the problem.
In July 1984, an international meeting agreed to construct an undersea cable between Jakarta, Singapore and Perth, spanning 4473 km and connecting with cable systems in Malaysia, the Philippines, the Middle East and Eastern Europe.
Following the success of Modell's tactics, cities like Detroit and Baltimore, both reputed to have some of the most dismal educational performance in the nation, agreed to construct new sports facilities with public funds in order to keep their teams from relocating.
For their part, the agribusiness companies agreed to construct new schools, while the educational authorities agreed to provide teachers and educational materials.
In 1994, for example, the United States agreed to help construct billions of dollars worth of new nuclear plants for North Korea, if it abandoned atomic weapons development.
