The phrase "an increasing engagement" is correct and usable in written English.
It can be used to describe a growing level of involvement or participation in a particular activity or context.
Example: "The company has seen an increasing engagement from its customers in recent months, leading to higher sales."
Alternatives: "a growing involvement" or "an escalating participation."
Foremost among these commitments was an increasing engagement with spiritualism in his personal and public capacities.
Efforts to engage men in preventing and reducing men's violence against women, and more generally in building gender equality, are increasingly well established, signalled by new regional and international networks, conferences and campaigns, an expansion of domains of intervention, an orientation towards 'scaling up' and an increasing engagement with public policy (Flood 2015).
Multigenerational communities foster inter-generational learning, a more efficient transfer of time and wealth, a stronger recognition of life experience as wisdom, and an increased engagement with disparate elements of the wider community.
Noting that Europe was no longer the United States' main strategic preoccupation, she said, "The U.S. has argued the need for an increased engagement in Asia, and there is a risk it will see the E.U. as a less relevant partner given our relative strategic weakness there".
The first, following on our discussion of Pogge's work, is an increased engagement by philosophers with empirical evidence and empirical methods.
In sum, the article proposes that the scope of archaeological applications of geospatial technologies would be productively broadened through an increased engagement with the Digital Humanities.
The analysis of the qualitative data complemented the survey results and led to similar conclusions about an increased engagement and appreciation of scientific concepts gained by students in the art courses, when these were proposed with the innovative pedagogical and instructional emphasis that has been illustrated in this paper.
Arrested differentiation and genomic instability were associated with an increased engagement of cells into the cell division cycle (P<0.0001).
Arrested differentiation and increasing genomic instability, hallmarks of more aggressive tumours, was associated with increasing levels of both G1 S and G2 M biomarker expressions, indicative of an increased engagement of tumour cells in the mitotic cell division cycle.
