"following the developments" is correct and usable in written English.
You can use it when you want to describe staying up to date on something, like a situation or a topic. For example, "I'm following the developments regarding the upcoming election closely."
"We are following the developments in Germany with great interest," Christoph Dichand told the German business newspaper Handelsblatt.
It was a tense evening, with Australian politicos following the developments – and commenting along on Twitter, which reached fever pitch with the outcome of the Liberal party vote.
We have been following the developments of the Free 'b' bus, which was implemented with the opening of the St David's 2 shopping centre in October.
And Mr. Jahnke, the sales and marketing executive at Rich, said the company was following the developments with the Italian producers' proposal to the Italian government.
Today, and into the evening, we'll be following the developments and results of the handful of big races to be decided in this off-year cycle.
One person closely following the developments in the Lords is Vira Hladun-Goldmann, sitting in her £2.9 million five-storey Georgian townhouse in Mayfair, London.
Bulgaria is ready to react appropriately in the next days following the development of the situation".
He had a high fever following the development of a urinary tract infection yesterday.
The plan from there is to create projects in chronological order, following the development of the genre as it moved to other parts of the country.
As well as finally settling the Zika/microcephaly link and following the development of the babies, they are on the hunt for co-factors.
Sarah Andrews, research director for the Electronic Privacy Information Center, a privacy rights advocacy group, said the organization was following the development of the universal Whois closely.
