I ignore what technique they are using to concentrate the contents of the aqueous phase (heating/rotary evaporator/distillation?) but this means that this should be done carefully in order not to dry completely the sample(phase) / keeping always some mililiters (or whatever the production scale is) otherwise it would burn or the precipitate/solid won't be able to be resuspended/dissolved again. Work is always carried on on a liquid phase for subsequent steps.

I hope this is understandable? Since I worked for years in labs it looks quite obvious!

https://www.ebooksread.com/authors-eng/george-chapman-caldwe...
https://quod.lib.umich.edu/m/moa/AGM0001.0001.001?rgn=main;v...

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Note added at 1 hora (2022-03-11 10:29:00 GMT)
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Well, it depends on the physical properties of the aqueous phase, generally it's not a suspension if starting material is a plant/vegetal (they are talking about organic (solvents) & aqueous phases here!) but yes, an homogeneous liquid that can be concentrated just to some mililiters.

And caution! this is not a "resulting mixture", it clearly states "phase aqueuse épuisée": "resulting aqueous phase" that is going to be concentrated afterwards.

Use of "resulting aqueous phase":
https://hal.umontpellier.fr/hal-02999762/document
https://www.researchgate.net/figure/Predicted-dissolved-alde...
https://patents.google.com/patent/US3769384

And "to a more concentrated aqueous phase":
https://www.researchgate.net/figure/Predicted-concentration-...

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Note added at 2 horas (2022-03-11 12:12:23 GMT)
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@Mark
Did you manage to assemble the diffferent parts of the sentence (?)
My try (knowing that I don´t have all the info, I assume this is a semi-industrial/industrial scale process, since they are talking about a "cuve" (tank?) and I ignore also the concentration method (guess it's plain heating/destillation):

Add the exhausted aqueous phase from the tank, eliminate all (residual) solvents and concentrate without drying, always respecting/following the parameters and indications for this step/stage XX

Apparently yes, some patents/docs use "exhausted aqueous phase" (aqueous liquid that has undergone main separation from organic solvents, the remnants will evaporate while heating/concentrating the aq.ph.)

https://img.perfumerflavorist.com/files/base/allured/all/doc...
"...(in organic solvent and the exhausted aqueous phase) form
two layers in the separator. The exhausted aqueousphase is..."

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Note added at 3 horas (2022-03-11 12:27:39 GMT)
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This is a good example (wording):
"the tetraalkylammonium chloride aqueous solution is subjected to electrolysis-dialysis in a solution state without drying it into a solid to produce a tetraalkylammonium hydroxide aqueous solution.
https://www.mysciencework.com/patent/show/process-preparatio...

I guess you can also use/specify "concentrate it without drying into a solid" that keeps the notion of "concentrer à mou"

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Note added at 4 días (2022-03-15 14:41:53 GMT)
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Sorry, just saw your last question.

NO, I think you're mixing basic chemistry concepts here.
Unless the solution they are talking about is an acid, you can't use that, and I´m sceptic since you have given few details (2 sentences).

"concentrate it w/o drying into a solid" or "concentrate it avoiding total dryness"
is Ok from the phrase. Cheers.

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Note added at 4 días (2022-03-15 15:03:14 GMT) Post-grading
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OK! Good to know, thanks for sharing!