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The phrase "addressed the important problem" is correct and usable in written English.
You can use it when discussing how someone has dealt with or tackled a significant issue or challenge in a particular context.
Example: "The researchers addressed the important problem of climate change in their latest study, proposing innovative solutions to mitigate its effects."
Alternatives: "tackled the critical issue" or "dealt with the significant challenge."
Exact(3)
Demestichas et al. [18] identified and addressed the important problem of service configuration and distribution in a composite radio environment (SCD-CRE).
There was no guarantee that the high-risk patients selected for therapy would actually benefit from it, however, and none of these previous studies addressed the important problem that a subgroup of women failed to respond to therapy.
Other studies have addressed the important problem of determining the primary site of tumors by molecular profiling, but most previous reports have used gene expression profiles from microarrays [ 36] or quantitative PCR [ 37], or in a few cases microRNA expression profiling [ 38, 39].
Similar(57)
We address the important problem of the mutual pairing of users, which directly governs the overall network performance.
In this article we address the important problem of robust control design for an underactuated manipulator robot with three joints.
This paper addresses the important problem of detecting pulsing denial of service (PDoS) attacks which send a sequence of attack pulses to reduce TCP throughput.
This trend addresses the important problem of chronic illnesses, highlighted by multiple international organizations as a core issue in future healthcare.
In this paper, we address the important problem of minimizing average communication latency for the active flows while providing energy-efficiency in wireless sensor networks.
This study addresses the important problem of the effect of adsorbate interactions and surface heterogeneity on a surface reaction in the presence of pore diffusional resistance (expressed through the conventional effectiveness factor plots).
The present work addresses the important problem of resilience or nonfragility which is the maintenance of convergence or performance when the observer is erroneously implemented due possibly to computational errors, e.g., round off errors in digital implementation or sensor errors.
The present work addresses the important problem of stochastic resilience or non-fragility of a discrete-time Luenberger observer which is the maintenance of convergence and/or performance when the observer is erroneously implemented possibly due to computational errors i.e. round off errors in digital implementation or sensor errors, etc.
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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