The phrase "agreed to construct" is correct and usable in written English.
It can be used when indicating that parties have come to a mutual decision to build or create something.
Example: "The committee has agreed to construct a new community center to serve the local residents."
Alternatives: "consented to build" or "decided to create".
Methods: For consistency, the collaborating organizations agreed to construct the TK according to PAHO's methodology.
To make things harder still, the developer, Bruce Ratner, agreed to construct a new public school inside the building's base.
A group of Chinese investors has agreed to construct a billion-dollar paper mill on the outskirts of Bienville, bringing jobs and eventual prosperity back to the town.
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.
MIT has agreed to construct a new federal building on the site and will acquire and develop the balance of the property in ways designed to benefit both MIT's mission and the Cambridge community.
Australia and the US have agreed to construct the Lombrum naval base on Manus Island – a port China had expressed interest in developing – and the US vice-president, Mike Pence, made it clear that shipping lanes needed to remain open.
We have the specter of executives agreeing to construct a major fraud and, being good corporate chipmunks, keeping a detailed record of their crime.
A year later, Kraftwerk Union, a West German company, agrees to construct two light water reactors to produce nuclear energy at the Bushehr complex, 470 miles south of Tehran.
Glendale inked a final contract with the museum in 2011, agreeing to construct a gleaming building featuring large glass windows and a red neon sign on the roof of a swimmer in the midst of a dive.
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.
The government also agreed to: (i) construct many miles of new roads and a modern port facility at nearby Tauranga; (ii) supply energy from hydroelectric power stations and (iii) establish railway lines to link the plant with the existing rail network and new port.
