The sentence "are thus required" is correct and is commonly used in written English.
It is typically used to emphasize a necessary action or consequence. For example, "Homeowners are thus required to have a professional inspect their roof at least once a year."
Innovations are thus required in the rapid, quantitative simulation of self-assembly on cellular scales.
Coatings are thus required to protect the pump surface and maintain the operational conditions.
Preprocessing and treatment are thus required to enhance the performance of the composite solution.
Tools that assist experts in performing these tasks are thus required.
Detailed studies of coral energetic, that trace the flow of carbon from symbionts to coral host and vice versa under different environmental conditions, are thus required.
Two lines are thus required to depict the corrected hue information, and the vertical detail of the hue information is correspondingly lessened.
Reliable methods are thus required that provide accurate scaling rules for dynamic similarity between models and prototypes.
Further well-characterized pile tests are thus required to augment this sparse data set for more reliable statistical outcomes.
Multiple perspectives are thus required to align social and ecological values to promote sustainable solutions for heritage management.
All users are thus required to contribute as much to the system as they consume either that, or buy some Mojo with real money.
Further explorations are thus required in similar marine settings to fully understand the magnitude of the problem, since they may represent the largest litter hotspots in the deep-sea.
