"thunder and rain" is correct and can be used in written English.
You can use it to describe a stormy or depressing atmosphere: "The thunder and rain created a gloomy atmosphere in the city."
We can hear thunder and rain outside.
Overhead, clouds moaned with thunder, and rain began to fall.
Then, after thunder and rain, he rolls down his window and sniffs the air.
Graham Parker, "Thunder and Rain" (1977) If the Heat get a Graham Parker song, the Thunder should also.
Parts of Britain will be as hot as Hollywood over the bank holiday weekend, despite some thunder and rain.
Hadad, also spelled Had, Hadda, or Haddu, the Old Testament Rimmon, West Semitic god of storms, thunder, and rain, the consort of the goddess Atargatis.
I said I wondered whether Dracula might be responsible for the six-day weather forecast: thunder and lightning, rain, snow, rain, thunder and lightning, and – only on the last day – sun.
The thunder clouds and rain move in, and your remaining dry windrows of hay get soaking wet, and ruined.
As it spread across her face, the thunder, lightning and rain withdrew, the sun beamed down, and you were in the calm eye of the storm.
"It's on the east coast of America... It's far enough down that the climate change about that point gives us a semi-tropical rain forest, thunder storms and rain every afternoon.
Sounds of thunder, wind and rain roll through the score, a collage of moody instrumental tracks, and Amy Glenn's costumes include ripped fabric and tie-dyed prints that resemble voluptuous storm clouds.
