You need to have Ableton Live 9 with Max for Live, Max 7, and Java, with all in 32-bit or all in 64-bit, to run the Liquid Rhythm 1.4.5 Max for Live plugin. See Liquid Rhythm 1.4.5 System Requirements and Java Requirements for Liquid Rhythm 1.4.5 for more info and links to Max 7 and Java.
Later versions of Liquid Rhythm, as included in Liquid Music, are compatible with newer versions of Ableton Live as a Max for Live device. Liquid Music 1.8.0 + Liquid Rhythm 1.8.0 is Max for Live compatible with Live 10 and Live 11 with no external Java dependencies, while Liquid Music 1.7.0 + Liquid Rhythm 1.7.0 are Max for Live compatible with Live 10 and Live 11 and require system Java of JDK 1.8 (and no later Java also present); Liquid Rhythm 1.7.0 is the last version with 32-bit support.