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The phrase "and effective methods for" is correct and usable in written English.
You can use it when discussing strategies or techniques that are both practical and successful in achieving a specific goal or outcome.
Example: "The report outlines various approaches and effective methods for improving team collaboration."
Alternatives: "and successful techniques for" or "and practical strategies for".
Exact(38)
Governments need to provide clear rules for water resource management and effective methods for enforcing them, argues Gleick.
Government agencies, private companies, and academics are all experimenting to find the most efficient and effective methods for Fukushima.
Animal models are essential to the development of novel and effective methods for treating and diagnosing human disease.
Salespeople and marketers would demand more data about LinkedIn users, and want more aggressive and effective methods for eliciting responses from them, but that would very likely run afoul with consumers' expectations.
There are two relatively simple and effective methods for calculation of the autoregressive models' parameters: maximum likelihood estimation (MLE) and quasi-maximum likelihood estimation (QMLE) [39, 40].
Searching for simple and effective methods for large-scale production of defective catalysts is of key importance, but remains a big challenge.
Similar(22)
SDR is a safe and effective method for reducing spasticity permanently without major negative side effects.
Scottish university discovers fake-whiskey test Chemistry researchers from the University of Strathclyde, Glasgow, have developed a speedy and effective method for determining whether a whiskey sample is fake or genuine.
Vitrification is a simple, fast, and effective method for cryopreservation.
The Taguchi method is an efficient and effective method for investigating parameter sensitivity and interactions.
Dialysis offered an easy and effective method for the preparation of small and well-distributed NPs.
More suggestions(13)
and effective steps for
and effective measurements for
and effective mechanisms for
and active methods for
and useful methods for
and effective devices for
and effective approaches for
and effective means for
and effective measures for
and effective approach for
and effective mode for
and cost efficient methods for
and effective drugs for
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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