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The phrase 'Despite their limitations' is correct and can be used in written English
You can use this phrase when you are talking about something that has some type of restriction or caveat. For example, you could say: "Despite their limitations, solar panels are an effective way to reduce energy costs."
Exact(60)
Despite their limitations, the central bank's new proposals would nonetheless cut a wide swath across the nation's fragmented mortgage system.
Despite their limitations, animated GIFs are enjoying something of a renaissance lately, as people use the format to create humorous Internet memes or low-resolution video clips of events.
Despite their limitations and simplifications assumed, these programs give us a good starting point.
Despite their limitations, the video-based results showed a certain risk compensation effect.
Despite their limitations, CFD models are capable of predicting the detailed flow field within bubble columns.
Despite their limitations, the Abbreviated Injury Score (AIS), ISS, and other scales still receive wide use [[5]].
Despite their limitations, LMWHs have improved the quality of care and quality of life in patients with VTE.
Despite their limitations, the methods discussed are useful in designing purification processes for proteins and easing the tedious experimental work that is currently required for developing purification protocols.
Despite their limitations, microbiological assays are widely employed to determine antibiotic potency of pharmaceutical dosage forms, since they provide a measure of biological activity.
Despite their limitations, the cross flow compact heat exchangers are generally modeled by the ε-NTU and LMTD methods and this mainly leads to the absence of effective consideration on the heat transfer geometry at the micro scale.
Despite their limitations, the CICP and GRCSM construction component model fitting techniques appear to be promising tools for the geometric estimation of construction features, especially for situations involving full automation, detailed construction work, incomplete sensor data, and complex object geometry.
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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