Lux players, some advice please.
Title. I just played Lux, and I forgot how fun she was. I want to start playing her regularly, but she's got some weaknesses that just seem REALLY hard to work around.
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Waveclear. This is my main issue with Lux. I either have to burn my ult, or E and auto attack every minion. And even with the auto base damage and passive it seems to just BARELY clear them. Any suggestions?
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Mana management- Lux is quite mana hungry- how do you contain her mana problems? Her cooldowns are way to long to afford a tear, and that already hampers her average/weakish early game. I've been going Athene's/Morello's for the extra regen and CDR cap, but is there another way to do it?
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Passive procs- This is the thing I feel I'm the most unsure about. Obviously, I know I can't just walk up and auto a Fizz after an E for some harass in a late game teamfight, but I'm actually kind of unsure when to try to proc it, especially in early laning where it might leave me open.
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Roaming. And/or sniping with ult. How often do you try? Should I really push to do so or is it not a big deal? Is Lux a good roamer or not in general? I know she's probably not the GREATEST roamer, but....

who can snipe globally and still have good damage throughout the laning phase.