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"given time constraints" is correct and usable in written English.
It is typically used when discussing limitations or limitations on time that may affect a situation or decision. Example: "The team was unable to complete the project on time, given the time constraints they were working under."
Exact(31)
But what he's trying to do now may be unprecedented, given time constraints and available money.
Given time constraints, if such a meeting does not occur in the next few days, there may not be enough time to pass this important legislation.
A perfectionist works to produce the best possible version of a task given her best achievable performance, all inside the given time constraints.
To handle the resulting computational complexity under the given time constraints, the control algorithms are designed for massively parallel processing.
Given time constraints during the end of the semester when academic commitments peak, and the improbability of ever seeing any particular instructor ever again, students are often unmotivated to put substantial effort into final projects.
Given time constraints, rather than arguing as best I can for the conclusion that the "DWC" model is superior for a wide range of believers — those who have received weaker experiential "input" rather than a full dose of Plantinga faith — let me instead close with two questions for Prof. Plantinga to see what he thinks.
Similar(29)
In one study aimed at improving infant feeding practices in rural China, more than half of the mothers who reported not practicing the recommended behaviors gave time constraints as their reason for not doing so [ 43].
To address this research gap, in this paper, an AUV-based technique for ad hoc underwater network, namely AUV-based Data Delivery Protocol (ADDP), is introduced which ensures data delivery within a given time-constraint by controlling node (i.e., AUV) movement at each hop through commands of a node.
It is probably the best Mr. Ratner can do, given time and money constraints.
Time area trade-offs are analyzed in order to make the best choice for given time and area constraints.
For example, it allows the experts to comment on how answerable the question is expected to be within the given time and resource constraints.
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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