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The phrase "are valid and believable" is correct and usable in written English.
You can use it when discussing the credibility or acceptability of statements, arguments, or claims.
Example: "The evidence presented in the report are valid and believable, supporting the conclusions drawn by the researchers."
Alternatives: "are credible and convincing" or "are reliable and plausible."
Exact(1)
But here only the results of the LRT are valid and believable because the two mixtures cannot correctly control the type I error rate as demonstrated.
Similar(59)
The clinical scenarios presented by the ISPs were valid and believable, and no GP realised the ISPs were not genuine patients.
His point was valid and well made.
But it is valid and valuable.
This work is valid and has value.
Traditionally, the belief bias effect has been defined as the interaction between logical validity and believability, with higher latencies and more errors for syllogisms that are valid yet unbelievable and syllogisms that are invalid yet believable (i.e., when there is a mismatch between logical validity and believability) (Evans et al. 1993a, b).
Your concerns are valid, real, and timely.
And the fears are valid.
Any and all of these are valid.
5 13 This was particularly highlighted in the findings by Alfonso et al. 2 In a randomised trial, "BMJ readers reported that data showing the impact of pain from herpes were less interesting, important, relevant, valid and believable when the authors were employees of a fictitious pharmaceutical company compared with an ambulatory care centre".
And "international" is valid.
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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