"figured largely" is a correct and usable phrase in written English.
It typically means that something or someone played a significant role or had a strong influence in a situation or outcome. Example: In the success of their business, their innovative strategies figured largely.
The sun and seasons figured largely, in tandem with fertility rites meant to ensure good harvests.
Tales of infidelity and its consequences figured largely in her conversation — though she judged on a sliding scale.
When Huxley was five, her family moved to Kenya, and Africa figured largely in most of her writings.
Minutely observed birds and animals, clearly based on contemporary animal drawings, figured largely in the decorative schemes.
They were going to Osler Bluff because it figured largely in his research, and because Sally and the children had never been there.
Distortion figured largely in Mr. Lachenmann's "Got Lost," which received a courageous performance on Saturday by the soprano Elizabeth Keusch and the pianist Stephen Drury.
Parenting attitudes figure largely in the quality of care any parent may provide, and may be particularly salient for foster children.
In fact they figure largely in her battle with Kenya's overwhelming environmental, social and political problems.
That's when Uzzi met Bienen and Duncan, both of whom now figure largely in Uzzi's career.
Brass still figures largely, but it's not always centre stage: Goshen digs its foundation with solitary piano, whereas Santa Fe embraces a lo-fi electropop sound.
Not that the show is silent; music and other sound effects figure largely, and so does language, though not in any recognizably syntactical way.
