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In a sentence
Fakticky už býva v Košiciach.
Actually, he already lives in Košice.
Fakticky sa nič nezmenilo.
In fact, nothing has changed.
Fakticky to nebola jeho chyba.
Actually, it was not his fault.
Fakticky máme ešte dosť času.
We actually still have enough time.
Source
Slovak National Corpus (SNK) ↗English gloss from the frequency publish path. Hand-reviewed example sentences.
Full attribution on References.