The phrase "and hence the modification" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from a previous statement, particularly in academic or formal writing.
Example: "The initial findings were inconclusive, and hence the modification to the experimental design was necessary."
Alternatives: "therefore the adjustment" or "thus the change".
Our data suggest that Mauritius kestrels have yet to reach these limits in terms of the habitat change they are exposed to in early life, and hence the life history modifications we report have no major local conservation implications.
The improved algorithm allows that the EDSER subpixel event repositioning program to be applicable to CC-mode, and hence the CalDB SUBPIX file modifications released internally only in CalDB 4.6.10a should be included in the public CalDB 4.7.0.
The most intensive slide activity, both in frequencies and volumes, and hence the most considerable landscape modification occurred early in the Holocene period i.e. when the relative sea level fell most rapidly.
Hence, the modification of the session keys of C i and G j affects the adversary's advantage by a value as small as Adv rsa (O (t)).
Hence, the modification of the luminescence properties of ZnO after irradiation experiments is still not clearly understood and, even less, after low energy irradiation experiments.
The unmodified Rome III criteria require ≥25% of stools to be of type 6 7, but we found this excluded around one-third of otherwise typical patients who met Rome III criteria based on recall, hence the modification.
Though the authors conducted tests of homogeneity of risks between subjects with and without PFs, they were based on small numbers of subjects and hence the power to formally identify effect modification was very limited.
It is probable that courtship studies under more natural and complex situations than those used here will provide a much more detailed picture of male courtship behavior and hence necessitate modification of the model.
In particular, the growth of InAs on the InGaAs metamorphic buffers (MB) allows for reduction in the strain accumulated in QDs and, hence, modification of the energy of QD levels [4 7].
However, for CC-mode observations taken before that date, the G66 events were excluded from telemetry, and hence a modification is needed to the ACIS QE for those observations.
