"developing this idea further" is a correct and usable phrase in written English.
You can use this phrase to indicate that you are going to expand upon a previous idea, typically in the same line of reasoning. For example: "We believe that our product is the most cost effective solution; developing this idea further, it also offers unmatched reliability and customer service."
We are developing this idea further and propose even simpler schema, using the systems dynamics simulation approach in our schema, the network topology and routing information is represented by relatively simple matrix algebra.
Developing this idea further, low volume/high intensity protocols should be a promising tool for impacting cardiometabolic risk in sedentary subjects.
[ 13] Developing this idea further, Locker [ 17] suggested an extension of the ICIDH scope to include certain feeling states (e.g., pain and psychological discomfort) which are prominent consequences of oral disease.
We subsequently developed this idea further with Microsoft Pivot to navigate to iPlayer using the same data.
A nation-wide interdisciplinary scientific network of researchers was established to develop this idea further and to prepare a proposal for a longitudinal representative large-scale educational study to investigate, monitor, and compare competence development and educational processes in Germany.
Spinoza once glosses conceptual relations in terms of containment in passing (C 245), but he fails to develop this idea further, and instead he usually relies on the more ambiguous description of conceptual "involvement".
Harding has developed this idea further in her call for researchers to start their research from the perspective of women's lives and the lives of other marginalized groups, regardless of their own social location (Harding 1991).
They argue that software development occurs incrementally, so that by patenting an idea and preventing another engineer from developing that idea further, patent laws put a brake on innovation.
As they began developing the idea further, they examined the key customer touch points: car request, driver screening, location tracking and ease of payment.
