IPA: /ˌɪn.dɪˈsɒl.jʊ.bɪl.ɪ.ti/
KK: /ɪnˌdɪsəˈluːbɪlɪti/
The quality or state of being unable to be dissolved or broken apart.
The indissolubility of their bond was evident in their unwavering support for each other.
Indissolubility is formed from "in-" (meaning not), "dissolubilis" (from Latin "dissolubilis", meaning able to be dissolved), and the suffix "-ity" (meaning the state or condition of). The word refers to the state of being not able to be dissolved or broken apart.
Think of 'not' ('in-') being able to be 'dissolved' ('dissolubilis') — that's why indissolubility means the state of being unable to be dissolved.