In your example, the sentence uses "find" as a reference to discovering something. "The life in London" refers to the significant time spent in that particular city by someone. It includes his or her good and bad experiences of living in that city. "Unpleasant" at the end of the sentence is an adjective modifying the noun phrase "life in London." Yes... adjectives can be placed at the end of sentences depending on the writers intent.

Hi Tony. "to find the life unpleasant " is a sort of phrasal verb here. They don't find the life (in London) unpleasant - It means London is pleasant for them. Other examples: I find it hard to learn Chinese. It means it is hard for me to learn Chinese. to find something hard/difficult/unpleasant etc is commonly used in English and the form can be separable, other words can go in between . Hope it helps:)