"always adapting" is grammatically correct and can be used in written English.
Example: The key to success in the business world is always adapting to new trends and changes in the market.
"We're always adapting," Huger said.
In the second case, everyone's always adapting to you.
The situation changes rapidly and the enemy is always adapting his tactics.
They often lack long-term visions as they are always adapting or transforming their business models.
As an artist, you're always adapting to the exigencies of what you are doing at the moment.
Under this assumption, link adaptation controller can always adapt transmission power and rate so that the packet is successfully decoded with probability one according to the Shannon's channel coding theorem [13].
"Japanese industry has always adapted with the times," he said.
Hitchcock always adapted with relish to technological change.
(Did you know Church's was bought by Prada in 1999?) Clarks have always adapted, always innovated.
By wanting to always adapt and "neutralize", one loses the riches of diversity and serendipity.
