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Might be full of old oil that’s gunking up the ratchet mechanism.
There are more thorough ways to clean and re grease but you can try loosening it up by flushing with wd40 or something similar..
Might also be worth checking the cables run smoothly and that nothing else is restricting movement by being stiff / seized
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There are loads of video on YouTube about "fixing" those shifters.
All the bikes I had with those shifters had the issue you describe.As @MCamb says, you need to soak them in / flush them with "something" - personally use "Elbow Grease" degreaser from Poundland and it works well.
Then you can also check if the cable have started fraying in the shifters as that's the next logical step.
Easy / satisfying fix.
And in the long run, you can get newer shifters like Shimano Claris.
Anyone have experience with Shimano RX100 STI levers? I bought the missus a cheap bike on eBay and neither shifter clicks. The rear shifter doesn't seem to pull the cable at all. The front shifter pulls the cable but doesn't click or hold the tension in any way.
Any easy fix before I start the refund process on eBay?