The user is redirected to your web page after the click.
After the click, the user is redirected to your web page.
Which kind of sentence should be used, the first, the second, or neither?
Both sentences are valid English. The first emphasises the act of redirection, the second emphasises the cause (the click); it's entirely a matter of context as to which you should use. The emphasis is fairly mild in this case, so feel free to choose either.
The phrase "After the click" sounds very slightly off to me. I think I would normally say "After clicking" instead, since it is the act of clicking that is what we're really interested in.
I don't think there are any musts in this case - it a question of style. Personally, I prefer the second of your alternatives, but equally, there are a dozen other perfectly acceptable ways of conveying the same message.
Either are acceptable, but passive voice can be a trifle static sounding. I like @CJM's suggestion of
because it's a bit more active.
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