"inseparable connections" is a correct and usable phrase in written English
It is often used to refer to close, enduring relationships between two or more things. For example, in discussing the impact of the Civil Rights Movement, you could say, "The civil rights movement forged inseparable connections between communities of color and the broader American public."
As a teacher and a scholar, I was pursuing not Stanley Fish's notion of "truth," but the inseparable connection between knowledge and democratic values.
Thus Cole insisted that "there is in the human mind an almost inseparable connection between the beautiful and the good, so that if we contemplate the one the other seems present"; while for Bryant an American art, broadly termed, needed to call forth "those analogies and correspondences" that exist "between the things of the moral and the material world".
However, there is an inseparable connection between Israel and the tragedy in Aleppo.
But more importantly, says Erik Stegman, associate director of the Half in Ten Education Fund at the Center for American Progress, Snyder fails to see the inseparable connection between the so-called "genuine issues" and his team's name.
But then it can't show us any "inseparable and inviolable connection"—any necessary connection between those ideas.
When she addressed the House before the first House fast-track vote she said: "The connection between the environment and commerce is inseparable," and that, "we need to slow this fast track down".
This study could not analyze as many variables as desired, but we note that body consciousness in pregnant women is inseparable from the consciousness of the baby in utero and this connection has repercussions.
Biological and mineral evolution have been inseparable since the planet's beginnings, the scientists argue, and understanding that connection should provide new insights in both fields and critical clues in the search for life on other planets.
Judge Glasser agreed that the connection was not a secret, adding that Mr. Oberlander and Richard Roe were "inseparable" in his mind.
Electricity pricing architectures must encompass transmission including connection and transport services in a market design in which transmission services are inseparable from generation services.
