The phrase "a very important connection" is correct and usable in written English.
You can use it when discussing relationships, links, or associations that hold significant value or relevance in a particular context.
Example: "In our research, we discovered a very important connection between diet and mental health that warrants further investigation."
Alternatives: "a crucial link" or "a significant relationship".
"There is a very important connection between arsenic in water and arsenic in food, especially where people grow irrigated crops".
It was around that time that I noted a very important connection between a child and parent.
Dixie had told me that in those first few weeks, a very important connection was being made between a parent and a baby.
I'm very much a fan of reclaiming the importance of friendship; I feel it's been thrown aside in our culture the shocking idea that you can have a very important connection to someone without wanting to bang them or have romantic feelings for them".
The receive operating characteristic (ROC) methodology is a computational methodology which has a very important connection to the neural network applied to classification applications[ 27].
It is clear that Mr Markov's work makes progress on the social conditions for persons performing mobile road transport activities and increases road safety, but it also has a very important connection with the general debate we are involved in against those who want to empty European laws of all content.
New moms deserve paid time off from work to care for their personal health needs, to adequately recover from birth and to develop that very important connection to their baby.
Believing that the critical element is subject matter expertise and that relationship and values can or should be separated from the learning about the specifics of the enterprise, we and the clients we serve, may be missing the very important connections between relationships, values, and learning.
There are very important connections between apoptotic cell death and autophagic cell death, as they occur concurrently in many processes [ 5].
As the characteristics of connections play a very important role in steel structural design, the effects of connections should be considered when an accurate analysis of semi-grid steel frame is desired.
Under Mansa Mūsā, Timbuktu grew to be a very important commercial city having caravan connections with Egypt and with all other important trade centres in North Africa.
