Painting a story.
Weaving a narrative. When we 'weave a narrative', it's like creating a fabric out of different elements of the story. We take the characters, the plot, the setting and interlace them together to form a coherent and engaging story. It gives a sense of craftsmanship, as if the storyteller is an artisan carefully constructing a beautiful piece of work.
In a formal context, 'recounting an account' can be used. It gives the idea of carefully and accurately telling the story as if it were an official account. For instance, in a historical research paper, one might recount an account of an event from the past. It implies a certain level of seriousness and precision in the way the story is being told.
The comprehensive chronicle.
You can also say 'relating a story'. This implies sharing or communicating a story in a more connected way, as if you are relating the events to someone. It gives a sense of building a connection between the story and the listener. For example, when you relate a story from your childhood, you are not just telling it but also making the listener feel as if they are part of that experience or at least understand it on a deeper level.
A chronicle of triumph.
Love's chronicle. Just like a chronicle records historical events, a 'love's chronicle' can be seen as a record of the events in a love relationship, in a rather poetic and grand way.
Depicts a narrative.
A story of love can also be called a love narrative. It emphasizes the aspect of it being a narrative that revolves around love. For example, many classic novels are love narratives where the plot is centered on the relationship between two characters in love.
Life account. A life account can also be used to refer to a person's life story. It gives a description of the events, experiences, and development throughout one's life.