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In a sentence
to believe
Mám dôvod domnievať sa, že klameš.
I have reason to believe that you're lying.
to suppose
Domnievam sa, že máš pravdu.
I suppose you're right.
Other
Domnievam sa, že vlak príde o desať.
I believe the train will arrive at ten.
Mnohí sa domnievajú, že zima bude mierna.
Many people suppose that winter will be mild.
Examples from Tatoeba (CC BY 2.0 FR).
Source
Slovak National Corpus (SNK) ↗English gloss from the frequency publish path. Includes Tatoeba example sentences when present.
Full attribution on References.