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The phrase "are mostly achieved" is correct and usable in written English.
It can be used when discussing the attainment of goals or objectives, indicating that a majority of them have been met.
Example: "The targets set for this quarter are mostly achieved, reflecting the team's hard work and dedication."
Alternatives: "are largely accomplished" or "are primarily fulfilled."
Dictionary
are mostly achieved
adverb
Mainly or chiefly; for the most part; usually, generally, on the whole.
Exact(4)
Interactions between roots and rhizosphere community members are mostly achieved via chemical communication.
In general, molecular surface modifications of these particles can be performed by grafting methods [8], whereas biomedically useful surface modifications are mostly achieved via cycloaddition reactions, e.g., the famous click reaction [9, 10, 11], biotin streptavidin interactions [12], and carbodiimide coupling reactions [13].
Studies have shown that the benefits mentioned above are mostly achieved when the instruction includes a skilled teacher and small class size.
These two parts of the chess-playing process cannot be completely separated, because strategic goals are mostly achieved through tactics, while the tactical opportunities are based on the previous strategy of play.
Similar(56)
This was mostly achieved by switching off needless air-conditioning and, according to the company, showed that the system was working as it should.
Few are predicting, for instance, that any foreign-language film will make the cut: for Hollywood, the highest form of excellence is mostly achieved in English.
The construction of a modern road network came after the building of the railways and was mostly achieved in the second half of the 20th century.
The same could be said of the gradual abolition of slavery, which was mostly achieved not by war, but by an emerging popular recognition of its cruelty and injustice.
California, a state in comparable if not worse budgetary distress, would get no such relief for its previous expansions of Medicaid because they were mostly achieved through amendments to its state Medicaid plan, not the waiver process.
This is mostly achieved through rhetoric (about immigration, the EU, etc).
This is mostly achieved within the MEMS, micron-size machines that depend on submicroscopic structures carved into the silicon.
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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