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I understand that RLPx is a protocol based on Kademlia DHT but one thing i'm not sure about is what's the need for this protocol or the problem that it is trying to solve ?

Further it says it's objective is to allow multiple protocols over single connection what does that mean ??

and also what does this part means

RLPx is a cryptographic peer-to-peer network and protocol suite which provides a general-purpose transport and interface for applications to communicate via a p2p network.

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First of all, RLPx is a suite of protocols and not just a single protocol. On one hand it maintains the p2p overlay network with the means of a modified version of the kademlia node discovery protocol using UDP messages. 

The first time two peers meet each other they should perform a two-phase handshake (i.e. two different handshakes). The first handshake pertains to the exchange of some cryptographic secrets that are used for the subsequent communications between them. The subsequent messages are therefore encrypted and authenticated.

In the second handshake, they exchange their capabilities, i.e. which devp2p subprotocols they support. It could be considered a part of devp2p wire protocol (the Hello message). The documentation says that:

the ÐΞVp2p nodes communicate by sending messages using RLPx (this time using TCP messages). I list some devp2p wire subprotocols that are widely used:

eth, the ethereum wire subprotocol used to exchange the information about the blockchain

whisper

les the light ethereum subprotocol is the protocol designed for the light clients

...If you want you can write your own subprotocol https://github.com/ethereum/go-ethereum/wiki/Peer-to-Peer.

Therefore RLPx messages are encrypted and authenticated. On top of them, you can communicate with different protocols. We can say that RLPx is the transport layer protocol and devp2p and its subprotocols are simply application-level protocols.

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