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"effectively demonstrated" is correct and usable in written English
You can use it to describe something that has been successfully demonstrated or shown in an effective manner. For example, "The speaker effectively demonstrated the value of education in his award-winning speech."
Exact(50)
However, no data has effectively demonstrated the effect of DHP and non-DHP CCBs on the development of NOD.
In Sudan, emergency programmes have improved the situation for the decentralized management of water systems, and in other countries like Ethiopia and Tajikistan, the UNICEF programme of support during emergencies has effectively demonstrated new and cost effective ways to handle emergencies.
McNee believed that the conclusion of siege exemplified the British government's policy of refusing to give in to terrorist demands, "nowhere was the effectiveness of this response to terrorism more effectively demonstrated".
Furthermore, the effect of the installed RSFCL on the extreme load reduction is effectively demonstrated.
On the whole, this study effectively demonstrated the potential of 7-day cured and carbonated PCFs for cost-effective Pb removal.
To the Editor: Your April 17 editorial effectively demonstrated the threat that the SAVE Act and the New Employment Verification Act pose to American workers.
Similar(10)
Finally, to effectively demonstrate the effectiveness of the proposed ABENC scheme, a chaotic system and an inverted pendulum are applied as example studies.
Despite this weakness, vignette-based studies have a long history of effectively demonstrating the effects of discrete factors while holding a body of information constant.
The saturated/unsaturated fatty acids (SFA/UFA) ratio can effectively demonstrate the destructive effect of different treatments on the membrane fatty acids.
However, the modeling effectively demonstrates the relative changes in cost-effectiveness.
O'Sullivan feels that LEYF is now able to effectively demonstrate their social and economic impact.
More suggestions(15)
effectively validated
effectively illuminated
actively demonstrated
effectively determined
realistically demonstrated
actually demonstrated
effectively delineated
effectively proven
effectively revealed
effectively determining
expectations demonstrated
did demonstrated
stakeholders demonstrated
effectively indicating
effectively incorporated
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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