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@NW7 yes when you take your finger off a string it will stop vibrating and go silent. This is normal. Not necessarily desirable but it is normal. As you get faster those silent notes will shorten and become un-noticeable.
As you advance there may be times when you deliberately lift your finger to mute the note and shorten the ringing. But that is down the road.
Right now I would say trust the process. Keep playing. Sometimes you will have mini breakthroughs that will excite you and motivate you. Sometimes some things will just gradually get better over time and one day you realize “Hmm that issue with pulling my finger off the strings doesn’t seem to be a problem any more”