This is the 4022nd most frequent Russian word.
литве
"Литве" means "to Lithuania" (dative case of "Литва").
In this sentence, 'литве' is in the prepositional case to indicate a location where someone resides.
Я живу в Литве.
I live in Lithuania.
Here, 'литве' also appears in the prepositional case to specify the location of an activity.
Моя сестра сейчас отдыхает в Литве.
My sister is currently vacationing in Lithuania.
'Литву' is used in the accusative case to indicate the destination of movement. This demonstrates the difference in case usage with directional verbs.