"constantly remaining" is correct and usable in written English.
You can use it when you are talking about something that continues or persists in the same way over time. For example: The storm raged for hours, with the wind constantly remaining strong.
Despite the amazing capabilities of our brains and bodies, constantly remaining on alert depletes many of our mental resources for navigating other life responsibilities and compromises one of our most valuable tools for maintaining sanity: psychological safety.
You have played an extremely active, diligent and committed part in all this, constantly remaining open to the demands of the European public and the needs of us all.
On the external front, the media remains under such perpetual threats from the army and the Taliban that it will constantly remain vulnerable to censorship and even possible threats of permanent closure for being too honest.
Palin is famously the only Monty Python member who has constantly remained on speaking terms with all the others.
Chronic illness is nearly always accompanied by depression, and the need to constantly remain one step ahead of my illness has left me fearful and exhausted.
As he stated during the last Party Congress, the Party, which must constantly remain "vigilant," will always remain "the firm leadership core".
These challenges can be daunting, both for an increasing number of workers who are not salaried employees of a company — such as freelancers or consultants — and for those whose attention has to constantly remain on drumming up new business — such as "rainmakers". These workers are always expected to be "on," planning how to obtain future revenue, while on the clock at their paid gig.
As can be seen in Figure 6a, the cell mortality constantly remained below 2% after the exposure to different concentrations of aGQDs, cGQDs and dGQDs for 24 h.
In general people in the project will constantly remain active for about 4.5 years, as long as they went through 1.5 years.
As the Earth orbits the Sun, an object at L1 will constantly remain in between the Earth and Sun, never straying at any point throughout the year.
"This has induced a profound impact on marketing requirements, where I'm forced to constantly remain in contact and provide continuous support by aligning my marketing strategy with current trends". They share more content on social media.
