"takes place continuously" is correct and usable in written English.
You can use it to emphasize that something is happening without interruption or pause, such as "The never-ending cycle of reproduction takes place continuously in nature."
"Learning takes place continuously throughout our lives," he said.
Change takes place continuously, and this is what the people of Bam want to show".
This is necessary because the electron-RF field interaction takes place continuously over the length of the helix within the helix diameter.
The extrusion takes place continuously by expansion of the dislocation loops by climb and their subsequent glide toward the surface in the slip direction to form whiskers.
And not only for the remarkable — if unuttered — philosophical and cross-cultural conversation that takes place continuously between those who built walls, on one hand, and those who want to tear them down, on the other.
The experimental challenge lies in the fact that this monitoring must be fully automatic since the earliest age because the hardening process of the concrete takes place continuously over a period counted in hours and even in days after the casting time.
These reactions take place continuously while electrons continue to flow.
When negotiations continue for many days or months, such discussion with constituents may take place continuously or at critical points throughout the process.
Trials in Italy do not even take place continuously.
Transformations into phases with lower zinc content take place continuously, probably resulting in the formation of the α-phase.
Adjustments under the gold standard took place continuously and smoothly — not, like today, wrenchingly and at great intervals.
