The phrase "greatly determined" is correct and usable in written English.
It can be used to describe something that is significantly influenced or shaped by certain factors.
Example: "The outcome of the project was greatly determined by the team's collaborative efforts."
Alternatives: "strongly influenced" or "significantly shaped."
For there is no creature whose inward being is so strong that it is not greatly determined by what lies outside it.
Which, in the end, offers an important antidote to both the rhetoric of decline and mindless boosterism: the recognition that whether we are falling behind or achieving new heights is greatly determined both by what goals we set and how we measure our performance.
Elinor Ginzler, director of the Cahnmann Center for Supportive Services at the Jewish Council for the Aging in Rockville, Md., writes that "the ability to age in place is greatly determined by the physical design and accessibility of a home, as well as community features like the availability of nearby services and amenities, affordable housing and transportation options".
Agriculture productivity is greatly determined by quality of the soil, especially availability of the nutrients.
The dispersion of TiO2 pigment is greatly determined by the reducing strength values of the pigment.
During iterative solution of RPFEM, the convergence speed is greatly determined by the initial guess.
A high-speed Internet connection improves Winamp video viewing, but the stations' own servers and bandwidths greatly determine video quality.
Thus, habitat selection of juvenile individuals greatly determines where animals are found in the city.
It needs to be assessed critically as it greatly determines the survival and activity of the microorganisms.
The design of magnetic/dielectric composites with rational nanostructures can greatly determine the electromagnetic wave absorption performance of absorbers.
As professional antigen presenting cells, dendritic cells (DCs) greatly determine the quality of the innate and adaptive immunities.
