The phrase "and that influence" is correct and usable in written English.
It can be used when discussing the impact or effect of something on a particular subject or situation.
Example: "The research highlights the importance of social media in shaping public opinion, and that influence cannot be underestimated."
Alternatives: "and that effect" or "and that impact".
And that influence could be considerable.
The study demonstrates that designers can make contributions that surpass the design of physical products, and that influence the effective implementation of product development processes.
This is where the creative directors of such houses as Chanel and Christian Dior get to show off pieces that are closer to art than to clothing and that influence the design of stuff that normal people might actually buy.
The site is overall extremely well-designed, especially for such an abstract concept — Tibbets worked as a developer at design firm Ideo for years, and that influence shows.
Within the last two decades, strides in the addiction treatment and HIV/AIDS care literature have demonstrated the general importance of processes that facilitate engagement in care, and that influence overall health and/or justice outcomes.
TIME magazine named Miyazaki one of 2005's Most Influential People, and that influence can be seen in his mentorship of upcoming filmmakers like Hiroyuki Morita and his own son Goro Miyazaki.
"And that influences the next generation — they think, Maybe we can live with this dictatorship.
"Russia has made enormous military investments … with their increased strength they are training more, and that influences the security environment".
"They let us know when they are struggling to meet our expectations, and that influences our decisions".
"It's 'Yes, sir. Yes, ma'am.' " MR. SCOTT, the director, observed: "Jerry is a very well-organized and tidy-minded person," and that influences his perceptions.
… There are literally hundreds if not thousands of underground rivers and streams in Tokyo, and that influences the current street design.
