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Fix my mud pit (driveway!) please!

Hi, I have an almost 50m L shape driveway that is currently a giant mud puddle on the corner and longest length. I'd like some suggestions on a long term solution which is budget friendly. Also as it is a shared driveway I'd like to get rid of the grass edges and have a nice looking edge (plants? Paving? ???) so there is no mowing required on the shared area. Would be interested in any other cost friendly solutions you could think of?