Using ggplot2 in R to colour individual lines with different gradients

I'm trying to create an image similar to this one in R using ggplot2.

However, I'm new to using this package. I'm struggling to find out how to draw lines that each have a different gradient. I want each line to start with one colour and end in another colour (gradually changing throughout), and I want to be able to specify this for each individual line uniquely. Can I do this with geom_segment? Would it also be possible for curves with geom_curve? It seems that the package ggforce could be useful for this. Any help would be greatly appreciated! Thank you.

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