We had a phone jack in kitchen that we removed. We first cut the line then taped it individually. We noticed the phone line in the basement stopped working afterwards. I'm assuming the basement line is looped through the kitchen line. Is there a way for me to get the basement line restored without having run another wire through another port or putting the box back in the kitchen?
It is very common for phone lines to be installed in a daisy-chain manner. The wires might only be stripped a bit in the middle and continue on to the next jack. By cutting the wires at any point you could potentially turn off every phone in the house.
Optimistically, the kitchen wires just need to be spliced. Did you take a photo of the kitchen wires?
Edit: The photos look good. Go to the nearest hardware store and ask for telephone splices. No special tools needed. For example:
https://www.homedepot.com/p/100192058
Put each same-colored wire from each cable into a separate splice and squish it with any plyers. No need to strip.
