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The phrase "are higher than initially" is correct and usable in written English.
It can be used when comparing current values or measurements to their original or initial values.
Example: "The costs of the project are higher than initially estimated, leading to budget adjustments."
Alternatives: "exceed the initial amount" or "surpass the original figures".
Exact(2)
In fact, recently developed techniques of match analysis provide a body of evidence that supports the belief that neuromuscular demands of training and competition are higher than initially suspected (e.g., accelerations/decelerations) [42,43,109] and give further support to the viewpoint that strength/power-related qualities are crucial for high-level performance.
Spain ranks fifth in such ranking after countries with extensive wage indexation (Belgium, Sweden, Finland and France), while countries such as Germany and Italy have low levels of real wage rigidity.23 Therefore, the fact that estimated levels of real wage cyclicality in Europe are higher than initially expected may be driven by the selected pool of countries for which estimations are available.
Similar(58)
"Growth this year will be higher than initially forecast," Mr. Barroso said.
But the failure rate of those launches was higher than initially expected.
The upward revision to gross domestic product last quarter primarily reflected the fact that exports turned out to be higher than initially estimated and imports were actually slightly lower.
The number is higher than initially expected, and government officials are urgently appealing for relief aid from wealthy nations so they can feed and shelter all the rebel soldiers and supporters.
The cause of this problem seems to be due to the readout noise which is higher than initially expected.
Finally, the level of correlation between the IKDC-SKF/GR and the social functioning subscale of the SF-36 (r = 0.60, P < 0.001), was higher than initially hypothesized (Table 3).
Yet for most of these diseases, as with SLE, the amount of remaining unexplained genetic variance (the so-called missing heritability) is higher than initially anticipated [ 5- 7].
As the simulated pressure heads are higher than the measured pressure heads with initially assumed C values, the C values are reduced by the same value for all pipe groups and the network is simulated to obtain the least value of the summation of the sum of the square of difference between the measured and simulated pressure heads.
In both cases the profit from driving is higher than we initially reported.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com