The phrase "and the stream of" is correct and usable in written English.
It can be used to describe a continuous flow or series of something, often in a metaphorical sense, such as thoughts, ideas, or events.
Example: "As I sat by the river, I couldn't help but reflect on the stream of memories that flowed through my mind."
Alternatives: "and the flow of" or "and the current of".
Elections loom in Italy, and the stream of new arrivals threatens to reinforce nationalists and populists.
I pulled as if the udders were floppy balloons and the stream of milk squirted into a tin pail.
Fifteen or so years ago, the stream of American history and the stream of Vietnamese history flowed together.
He's a big dog, half Airedale, half Australian shepherd, and the stream of life flows right through him.
Lorenzo could not do so, and the stream of florins that fed his munificence was becoming less abundant.
Some corporate sponsors said they felt alienated, and the stream of visitors had slowed to a trickle.
At the ceremony, Murillo a former poet whose oratorical style combines the ecclesiastical and the stream-of-consciousness opened the proceeding
At the ceremony, Murillo — a former poet whose oratorical style combines the ecclesiastical and the stream-of-consciousness — opened the proceedings.
Meanwhile, the pastoral simplicity of the third Alcotts movement was beautifully caught, and the stream-of-consciousness finale, Thoreau, was moulded in a single arc towards the valedictory flute solo (played by Juliette Bausor).
Likewise with the fizzy synth and interlocking rhythm guitars disguising his discomfiture about events "On the Night of the Bonfire", and the stream-of-consciousness rockabilly of "Single Cheep".
Sadly, there is a yawning chasm between that principle and the stream-of-consciousness, denigrating invective that erupts unfiltered from Mr. Trump on a regular basis, breathtakingly devoid of detailed knowledge or fully-formed ideas.
