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The phrase "at substantially the same time" is correct and usable in written English.
It can be used to indicate that two or more events occur nearly simultaneously, though not necessarily at the exact same moment.
Example: "The two experiments were conducted at substantially the same time to ensure comparable results."
Alternatives: "around the same time" or "approximately simultaneously."
Exact(6)
(i Sold at substantially the same time.
The bonds are sold at substantially the same time.
Bonds are treated as sold at substantially the same time if they are sold less than 15 days apart.
"Matched" orders are orders for the purchase sale of a security that are entered with the knowledge that orders of substantially the same size, at substantially the same time and price, have been or will be entered by the same or different persons for the sale/purchase of such security.
This exception also excludes, under Section 29(3)(b) of the 1988 Act, copying which will result in "copies of substantially the same material being provided to more than one person at substantially the same time and for substantially the same purpose".
However, as a limitation, Section 29(3)(b) provides that the copying cannot be fair dealing if the person doing it knows that it will result in "copies of substantially the same material being provided to more than one person at substantially the same time and for substantially the same purpose".
Similar(54)
Any one of these profiles may message with multiple users at the same or substantially the same times just like our users.
However, China's income gap widened substantially at the same time, and income inequality has become a major threat to sustainable economic development and continuous improvement in living standards.
Although generic drug utilization has risen substantially at the same time, the impact and cost-effectiveness of generic drugs in early PD compared to brand-names, remain unknown.
It is possible that the incidence rate of human infection with H7N9 in a city appeared to decline substantially at the same time LPMs were closed in that city for reasons other than the closure of LPMs or by chance.
And its interest rates could be substantially reduced, at the same time.
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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