what is unintelligible and vaguely

Something is said to be unintelligible when it is not clearly expresses, articulated or understood.

'Vaguely' is an adverb that means 'in a faint or misty way'.

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un·in·tel·li·gent 

/ˌəninˈteləjənt/
Adjective
Having or showing a low level of intelligence: "a good-natured but unintelligent boy".
 
Synonyms
dull
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vague  (vg)

adj. vagu·er, vagu·est
1. Not clearly expressed; inexplicit.
2. Not thinking or expressing oneself clearly.
3. Lacking definite shape, form, or character; indistinct: saw a vague outline of a building through the fog.
4. Not clear in meaning or application. See Synonyms at ambiguous.
5. Indistinctly felt, perceived, understood, or recalled; hazy: a vague uneasiness.

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