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"these statistics suggest" is grammatically correct and can be used in written English.
It is often used when discussing data or evidence that supports a certain conclusion or idea. Example: "These statistics suggest that there is a strong correlation between income levels and education levels in this country." This sentence implies that the data presented supports the idea that higher education often leads to higher income levels.
Exact(29)
Perhaps these statistics suggest how arbitrarily shoppers are weighing their fears -- anthrax versus the rest.
These statistics suggest that as women we're becoming our own enemies by doubting our abilities.
Relevant to this discussion is what these statistics suggest – that there are a lot of infertile men out there who may not even know they are infertile.
But these statistics suggest that at the very least technology hasn't helped much in our war on calories.
Even with about 2,000 guests a year now at the Wiegele resort, these statistics suggest a level of risk significantly higher than that of big North American ski resorts.
The optimist in us wants to proffer that these statistics suggest a so-called flight to quality.
Similar(31)
Each of these statistics suggests high concordance between results obtained from human and pig (Table 4).
These statistics suggested that nearly complete coverage of the entire cDNA length was obtained in this analysis.
An investigation into the sources of these statistics suggests that these commonly reported figures ultimately represent restatements of information derived from unpublished reports and clinical opinion.
14 These statistics suggested that the economic recession did not deteriorate the tuberculosis control services in Japan, but actually improved it, which was inconsistent with what was previously reported in European countries.
Overall, these statistics suggested considerable challenges existed for TB service delivery in London; hence NHS London made TB a healthcare priority for 2007 2009 for all Primary Care Trusts (PCTs) [ 2].
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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