The phrase "getting more and more complex" is correct and can be used in written English
You can use it to describe something that is becoming increasingly complicated. For example, "The math problem was getting more and more complex with each step."
The Great Firewall appears to be getting more and more complex, in addition to its increased reach.
Making important decisions about how to invest your life savings seems to be getting more and more complex as the amount of information continues to grow.
Old Bill's Effectology series is getting more and more complex.
The use of Cloud Services is getting more and more complex with the pace of time.
Sensor solutions are pervasive in the vehicle, while signal processing in such application is getting more and more complex.
Management of water uses requests to harmonize demands and needs which are getting more and more complex and sophisticated.
That is maybe one reason why I've slowed down a little, as I get deeper into it and it gets more and more complex, it is harder to remember.
"This program is going to get more and more complex as time goes on, and you can't count on human heroes bailing you out to ensure that the system works," Mr. Hite said.
She added: "At times it felt that the riddles would get more and more complex, but I like to believe that all riddles can be solved, and I therefore kept going".
The losers are smaller companies, which have less room for manoeuvre.Worse, as governments try to crack down on the multinationals' tax strategies, the tax code gets more and more complex, increasing the administrative burden for small companies.
In 2009, as his web of lies got more and more complex, he appeared to forget which deals he had promised to set up for clients and had to ask them to confirm where their money was and how much they were expecting back.
