"leverage their knowledge" is a perfectly correct and usable phrase in written English.
You can use it when talking about how people are taking advantage of their own skills or understanding of a situation. For example, "The team was able to leverage their knowledge of the industry to gain a competitive advantage in the market."
When shaping the organization's technology-driven growth strategy, leverage their knowledge and experience.
The clinicians and specialists at the hospital could share and leverage their knowledge as well as provide the content about illness and their prevention.
Thoroughly vet technology solutions providers to better understand their processes and how they plan to leverage their knowledge and expertise to complement your business acumen.
The Connector: These individuals get satisfaction from making introductions within their network and look for ways to leverage their knowledge to help others.
We are looking forward to working with Labpixies to develop great web apps and leverage their knowledge and expertise to help developers and improve the ecosystem overall.
Real estate companies willing to adapt would be able to leverage their knowledge and experience of the industry because, while it would still be largely unchartered, greenfields territory, any experience in the area would prove to be beneficial.
As we'll see, these companies eventually leveraged their knowledge about climate-related issues to develop new and profitable products.
Teachers in this study leveraged their knowledge of students and families to shape lessons and activities and to choose books for students to read.
Fellows are required to develop a public outreach initiative that leverages their knowledge to inform policy and pubic opinion.
Leveraging their knowledge of customer preferences, these brands were able to develop digital marketing tactics that reached their customers in the right ways and at the right times.
If we had done a better job of being transparent, we could have leveraged their knowledge and learned more and maybe accelerated the process at the end of the day.
