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In a sentence
Nemôžem prijať to vysvetlenie.
I can't accept that explanation.
Ďakujem za vysvetlenie.
Thanks for your explanation.
Ďakujem vám veľmi pekne za podrobné vysvetlenie.
Thank you very much for your detailed explanation.
Vďaka za vysvetlenie.
Thanks for your explanation.
Examples from Tatoeba (CC BY 2.0 FR).
Source
Slovak National Corpus (SNK) ↗English gloss from the frequency publish path. Example sentences from Tatoeba (CC BY 2.0 FR).
Full attribution on References.