N2 — outside your level filter
write + without ever doing X — a written-register span across which X never once occurred
kaku koto naku
without ever doing X — a written-register span across which X never once occurred
meaning: without ever writing
彼は一度も諦めることなく、挑戦し続けた。
kare wa ichido mo akirameru koto naku, chousen shitsuzuketa.
He kept up his challenge, without ever giving up even once. neutral
彼女は誰にも頼ることなく、一人でその困難を乗り越えた。
kanojo wa dare ni mo tayoru koto naku, hitori de sono konnan o norikoeta.
She overcame that hardship alone, without ever relying on anyone. formal