to hold out (e.g. against an attack); to hang on; to withstand; to endure; to last
嵐の中でなんとか持ち堪えた。
We somehow managed to hold out through the storm.
病気と戦いながら持ち堪えている。
He is holding on while fighting his illness.
ここまで持ち堪えられたのは家族の支えあってこそだ。
Being able to hold out this long is all thanks to my family's support.