Merge pull request #11879 from ATREAY/docs

Fixed instances of duplicated words

Author: corwintines

public/content/community/research/index.md

@@ -69,7 +69,7 @@ The execution layer is concerned with executing transactions, running the [Ether
 - [Database optimizations](https://github.com/ledgerwatch/erigon/blob/devel/docs/programmers_guide/db_faq.md)
 - [State expiry](https://notes.ethereum.org/@vbuterin/state_expiry_eip)
 - [Paths to state expiry](https://hackmd.io/@vbuterin/state_expiry_paths)
-- [Verkel and state expiry proposal](https://notes.ethereum.org/@vbuterin/verkle_and_state_expiry_proposal)
+- [Verkle and state expiry proposal](https://notes.ethereum.org/@vbuterin/verkle_and_state_expiry_proposal)
 - [History management](https://eips.ethereum.org/EIPS/eip-4444)
 - [Verkle Trees](https://vitalik.ca/general/2021/06/18/verkle.html)
 - [Data availability sampling](https://github.com/ethereum/research/wiki/A-note-on-data-availability-and-erasure-coding)
@@ -198,7 +198,7 @@ Ethereum wallets can be browser extensions, desktop and mobile apps or smart con
 
 ## Community, education and outreach {#community-education-and-outreach}
 
-Onboarding new users onto Ethereum requires new educational resources and approaches to outreach. This might include blog posts and articles, books, podcasts, memes, teaching resources events and anything else that builds communities, welcomes new starters and educates people about Ethereum.
+Onboarding new users onto Ethereum requires new educational resources and approaches to outreach. This might include blog posts and articles, books, podcasts, memes, teaching resources, events and anything else that builds communities, welcomes new starters and educates people about Ethereum.
 
 ### UX/UI {#uxui}
 

public/content/developers/docs/smart-contracts/security/index.md

@@ -357,7 +357,7 @@ You can also use a [pull payments](https://docs.openzeppelin.com/contracts/4.x/a
 
 An integer overflow occurs when the results of an arithmetic operation falls outside the acceptable range of values, causing it to "roll over" to the lowest representable value. For example, a `uint8` can only store values up to 2^8-1=255. Arithmetic operations that result in values higher than `255` will overflow and reset `uint` to `0`, similar to how the odometer on a car resets to 0 once it reaches the maximum mileage (999999).
 
-Integer underflows happen for similar reasons: the the results of an arithmetic operation falls below the acceptable range. Say you tried decrementing `0` in a `uint8`, the result would simply roll over to the maximum representable value (`255`).
+Integer underflows happen for similar reasons: the results of an arithmetic operation falls below the acceptable range. Say you tried decrementing `0` in a `uint8`, the result would simply roll over to the maximum representable value (`255`).
 
 Both integer overflows and underflows can lead to unexpected changes to a contract’s state variables and result in unplanned execution. Below is an example showing how an attacker can exploit arithmetic overflow in a smart contract to perform an invalid operation:
 

public/content/staking/withdrawals/index.md

@@ -196,7 +196,7 @@ eventName="read more">
 
 Validator operators are recommended to visit the <a href="https://launchpad.ethereum.org/withdrawals/">Staking Launchpad Withdrawals</a> page where you'll find more details about how to prepare your validator for withdrawals, timing of events, and more details about how withdrawals function.
 
-To try out your setup on a testnet first, visit the the <a href="https://goerli.launchpad.ethereum.org">Goerli Testnet Staking Launchpad</a> to get started.
+To try out your setup on a testnet first, visit the <a href="https://goerli.launchpad.ethereum.org">Goerli Testnet Staking Launchpad</a> to get started.
 
 </ExpandableCard>