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The phrase "constraints within which" is correct and usable in written English.
It can be used to describe the limitations or boundaries that define a particular situation or context.
Example: "We must operate within the constraints within which the budget allows us to function effectively."
Alternatives: "limitations in which" or "boundaries within which".
Exact(33)
"But we must recognise the context and constraints within which social workers and their managers work.
He said: "We must recognise the context and constraints within which social workers and their managers work".
He offers a hard-headed verdict, pointing out the constraints within which a surviving Stresemann would have operated.
We will consider these ideas, weighing them against the various constraints within which we have to work –operationally and from a data protection standpoint".
McAleese takes for granted that women should be ordained, but she also sees the constraints within which the Pope must operate.
The conclusions of the committee have, perhaps inevitably, been affected by the fragmented picture which has emerged from the various witnesses over successive appearances and by the constraints within which the committee had to conduct its procedure.
Similar(26)
Doctors need to be able to relate to the individual patients in front of them as their strong advocate, treating them in a way that, after duly taking into account the patient's values and the constraints of service within which they are working, will produce maximal benefit for the patient.
However, as every organization is embedded in an external social context, CSR decisions also need to be aligned with a set of other structural constraints in the environment within which they operate (Athanasopoulou & Selsky, 2015).
In all optimum seeking, there are goals or objectives to be achieved and constraints to be satisfied within which the optimum has to be found [ 8– 11].
However, the reduced time-step required to simulate complex and fast systems imposes a tighter constraint on the time within which the computations have to be performed.
On the other hand, the "operating range constraint" specifies the range within which a model is valid since physical phenomena occur assuming a system is in a specific state.
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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