The phrase "are eliminated only" is correct and usable in written English.
It can be used to specify that something is removed or excluded exclusively, often in a context where other options or conditions are present.
Example: "In this process, unnecessary variables are eliminated only if they do not contribute to the overall outcome."
Alternatives: "are solely eliminated" or "are removed exclusively".
For the production of the best high-speed steel metallic tungsten powder is necessary, because ferro-tungsten contains impurities which are eliminated only when the process of separating the tungstic oxide from the ore is employed.
If end-user subsidies are eliminated only in gas and electricity sectors and coal prices remain at below market levels (due to producer subsidies), both end-users and intermediate consumers, e.g., power plants are likely to switch to coal as less expensive energy source as much as technological capacity would allow.
After all the other competitors are eliminated, only Dylan and Akeelah remain.
Both BNP and NT-proBNP are eliminated only to a small degree during a hemodialysis session [ 14], and NT-proBNP appears to accumulate to a larger degree during dialysis [ 15, 16].
They contend they are eliminating only "dual regulation," but in fact they would prevent states and localities from setting emissions standards higher than the weak N.R.C. limits.
Since a number of alternative entrainers have already been eliminated, only a few optimizations are necessary.
They relied on the police and security services to guard against a threat that could never be eliminated, only diminished.
Nitro- and bromo-phenyl moieties were covalently linked to the PTFE material and could be eliminated only by abrasion.
In any case, the problem of moral hazard can never be eliminated, only suppressed (at a cost).
This embarrassing divergence of governmental opinion was eliminated only after the executive intervened and requested the courts to adjudicate the matter on the merits.
Ewing was eliminated only because doctors wanted the donor to be a family member, and Cooper was the healthiest option in the final group, which included three cousins.
