"develop a deeper" is a correct and usable phrase in written English.
You can use it to refer to deepening an understanding or knowledge of a particular subject. For example: "We will need to develop a deeper knowledge of statistics if we are to make informed decisions about our research."
A recent focus on schoolchild and adolescent health has emphasised the need to develop a deeper understanding of factors impacting health and development of this population group.
Similarly, decision-makers will develop a deeper understanding of the research process and thus can influence the development of feasible and sustainable interventions for practice settings.
"Working in partnership with Dorset has allowed us to develop a deeper recovery process for rather less cost.
A degree in American Studies should develop a deeper understanding of the continent's ways and help answer those nagging questions.
Three revival movements during the 19th century caused many Finns to develop a deeper commitment to the church.
Additionally, during our diligence, we were able to develop a deeper understanding of the company's client base.
Mr. Blair hopes visitors to the exhibition, particularly young ones, will develop a deeper appreciation for the area's history.
He said he planned to develop a deeper understanding of the various elements of campus construction during the next session.
Although this wouldn't be a trivial undertaking – it might be a more interesting one, enabling you to reach a wider audience and develop a deeper level of engagement.
Aristotle told Guardian Australia he hoped his work and the object he chose would help "develop a deeper appreciation of what refugees and asylum seekers have been through".
If I'm honest, with my mother gone – the filter through which all our substantive communication had passed – I hoped that we would develop a deeper understanding.
