Because the IRA didn’t truly give up violence. They had Sinn Fein for that.
MLK was ignored, and the Black Panthers showed what could happen if you ignore them.
Gandhi wasn’t recognised by the British until the terrorist acts and rebellions in India.
The violence isn’t the “solution”, it is the response to the negotiations being ignored. Its the “good cop/bad cop” in all these situations. There are plently of peaceful groups who have been working towards better healthcare, but made no progress. This is the point where they can start saying
Either you work with us, or deal with them 🤷♀️
And it’s exactly how the IRA got the negotiations going. It may take a while but its the same pattern.
Here are some other examples:
A book, The Cathedral and the Bazaar about software development.
https://en.m.wikipedia.org/wiki/The_Cathedral_and_the_Bazaar
A fashion and “lifestyle” magazine
https://www.harpersbazaar.com/
We have a lot of foreign food stores around here that are called “The Bazaar Supermarket” etc.