The phrase "and the conspiracy of" is correct and usable in written English.
It can be used when discussing a plot or scheme involving multiple parties or individuals, often in a context related to secretive or illicit activities.
Example: "The investigation revealed the extent of the corruption and the conspiracy of several high-ranking officials."
Alternatives: "and the collusion of" or "and the plot of".
"I have suffered the consequences of manufactured evidence, bought-and-paid-for testimony, and the conspiracy of Mexican authorities," he said in a letter from prison this week.
In a no-nonsense 1946 lecture on the play, W. H. Auden wrote, "The first thing to notice about 'Much Ado About Nothing' is that the subplot overwhelms and overshadows the main plot... the story of Hero and Claudio and the conspiracy of Don John.
With Mr. Nowak were Ray Tisch, 37, an electrical engineer, and Matthew Yamakaitis, 49, a warehouse worker, who said they had joined the John Birch Society within the last two years because they shared its concerns about the North American Union, the mainstream media and the conspiracy of elite insiders.
This week 150 clerics and religious scholars held a rare public protest outside the king's palace in Jeddah to object to "westernisation" and "the conspiracy of women driving", blaming the US – a byword in traditionalist circles for anything distasteful or immoral – for being behind the campaign.
Many continue suffering into adulthood from the crimes of wayward clergy and the conspiracy of silence by religious hierarchs.
He also used his newspaper, The Fredonian, in Chillicothe, Ohio between 1806-1808, to highlight issues about Indian treaties and the conspiracy of Aaron Burr.
Burroughs saw writing as a way to decode the world around him and undermine the conspiracy of Western civilisation.
The same phenomenon is evident in the figure of Jakob in Jakob's Blessing (1656) and in the Conspiracy of the Batavians (1661).
The time has come for European governments to stand up to the United States and break the conspiracy of silence, regardless of the diplomatic consequences.
Trajal Harrell and Perle Palombe, The Conspiracy of Performance, 2010.
This is a precarious position, since Machiavelli insists that the throes of fortune and the conspiracies of other men render the prince constantly vulnerable to the loss of his state.
