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Razor is a generally unplayed carry who is quite strong in the early and mid games because of his tankyness and natural damage from static link! You need to build tanky items like Mek, or Vanguard, or Pipe on him so that he can stay alive long enough for your team to back you up, or static link to allow you to deal out some good damage! Make sure you don't get too far into the late game with Razor though, because he peaks off as a hard carry compared to a lot of other heroes.
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Anti Mage at one point was the strongest carry in the game. After to learning to play against him for literally 9 months. Players and teams have gotten better ideas how to beat him. Namely, get a good 5 man team and push towers earlier than you would. This is generally an all around good way to beat any carry. Anyways, to play Anti-Mage, you farm a battlefury, then a Manta, and then a Heart, and then usually a Butterfly, and then you kill supports and have a good time. That mostly happened this game. Enjoy!
Phantom Lancer is regarded as one of the nastiest carries to play against currently, and I tried to do that justice this game and carry my team to victory. The game was very close, and quite nerve wracking, so I'm sure you guys will enjoy watching it!
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Slark is a pretty survivably gank/tank carry with pretty solid offensive potential. he has lately been seeing some play in the pro scene because of his ability to farm pretty well while also getting kills and resisting stuns. Dark Pact is a lot of the cause for his survivability, since it can remove negative buffs. If you predict the stuns, it gives you a free sort of black king bar. This game was very close and very stressful. Enjoy!
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Elder Titan is a strong mid hero versus anything but top tier mids, especially squishies with low hp or no escape! You should build utility items to assist your team, such as Mek, and an Arcane is recommended as most of your utility is in your spells. You can go around ganking, and especially are useful for stopping pushes. Late game you should often hang back and counter initiate on your opponents as you'll be more likely to catch multiple people with your combo! He's a fun hero! Go try him :)